{"id":80402,"date":"2025-11-01T19:13:55","date_gmt":"2025-11-01T19:13:55","guid":{"rendered":"https:\/\/onlineexammaker.com\/kb\/20-exterior-angle-theorem-quiz-questions-and-answers\/"},"modified":"2025-11-01T19:13:55","modified_gmt":"2025-11-01T19:13:55","slug":"20-exterior-angle-theorem-quiz-questions-and-answers","status":"publish","type":"post","link":"https:\/\/onlineexammaker.com\/kb\/20-exterior-angle-theorem-quiz-questions-and-answers\/","title":{"rendered":"20 Exterior Angle Theorem Quiz Questions and Answers"},"content":{"rendered":"<p>The Exterior Angle Theorem states that in a triangle, the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. For example, if a triangle has interior angles of 30 degrees and 70 degrees adjacent to the exterior angle, and the third interior angle is 80 degrees, then the exterior angle at that vertex would measure 30 + 70 = 100 degrees. This theorem is useful in solving problems involving triangles and their angles, as it provides a direct relationship between the exterior and interior angles.<\/p>\n<h3>Table of Contents<\/h3>\n<ul class=\"article_list\">\n<li><a href=\"#1\">Part 1: OnlineExamMaker AI Quiz Generator &#8211; Save Time and Efforts<\/a><\/li>\n<li><a href=\"#2\">Part 2: 20 Exterior Angle Theorem Quiz Questions &#038; Answers<\/a><\/li>\n<li><a href=\"#3\">Part 3: AI Question Generator &#8211; Automatically Create Questions for Your Next Assessment <\/a><\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/onlineexammaker.com\/kb\/wp-content\/uploads\/2025\/12\/2081-Exterior-Angle-Theorem-quiz.webp\" alt=\"\"\/><\/p>\n<h3 id=\"1\">Part 1: OnlineExamMaker AI Quiz Generator &#8211; Save Time and Efforts<\/h3>\n<p>Still spend a lot of time in editing questions for your next Exterior Angle Theorem assessment? OnlineExamMaker is an AI quiz maker that leverages artificial intelligence to help users create quizzes, tests, and assessments quickly and efficiently. You can start by inputting a topic or specific details into the OnlineExamMaker AI Question Generator, and the AI will generate a set of questions almost instantly. It also offers the option to include answer explanations, which can be short or detailed, helping learners understand their mistakes.<\/p>\n<p><strong>What you may like:<\/strong><br \/>\n\u25cf Automatic grading and insightful reports. Real-time results and interactive feedback for quiz-takers.<br \/>\n\u25cf The exams are automatically graded with the results instantly, so that teachers can save time and effort in grading.<br \/>\n\u25cf LockDown Browser to restrict browser activity during quizzes to prevent students searching answers on search engines or other software.<br \/>\n\u25cf OnlineExamMaker API offers private access for developers to extract your exam data back into your system automatically.<\/p>\n<div class=\"embed_video_blog\">\n<div class=\"embed-responsive embed-responsive-16by9\" style=\"margin-bottom:16px;\">\n <iframe class=\"embed-responsive-item\" src=\"https:\/\/www.youtube.com\/embed\/zlqho9igH2Y\"><\/iframe>\n<\/div>\n<\/div>\n<div class=\"getstarted-container\">\n<p style=\"margin-bottom: 13px;\">Automatically generate questions using AI<\/p>\n<div class=\"blog_double_btn clearfix\">\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/features\/ai-question-generator.html?refer=download_questions\" target=\"_blank\" rel=\"noopener\">Try AI Question Generator<\/a><\/div>\n<div class=\"p-style-b\">Generate questions for any topic<\/div>\n<\/div>\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/sign-up.html?refer=blog_btn\"> Create A Quiz<\/a><\/div>\n<div class=\"p-style-b\">100% free forever<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 id=\"2\">Part 2: 20 Exterior Angle Theorem Quiz Questions &#038; Answers<\/h3>\n<p><button id=\"copyquestionsBtn\" type=\"button\" onclick=\"myFunction()\">Copy Quiz Questions<\/button>\u00a0\u00a0or\u00a0\u00a0<button id=\"genquestionsBtn\" class=\"genbtnstyle\" type=\"button\" onclick=\"myFunction1()\">Generate Questions using AI<\/button><\/p>\n<div id=\"copy_questions\">\n<p>1. Question: In a triangle, if the interior angles are 30\u00b0 and 40\u00b0, and the exterior angle at the third vertex is to be found, what is its measure?<br \/>\n   A. 70\u00b0<br \/>\n   B. 80\u00b0<br \/>\n   C. 90\u00b0<br \/>\n   D. 110\u00b0<br \/>\n   Answer: A. 70\u00b0<br \/>\n   Explanation: The exterior angle equals the sum of the two non-adjacent interior angles, so 30\u00b0 + 40\u00b0 = 70\u00b0.<\/p>\n<p>2. Question: For a triangle with angles 50\u00b0, 60\u00b0, and 70\u00b0, what is the measure of the exterior angle at the 70\u00b0 vertex?<br \/>\n   A. 110\u00b0<br \/>\n   B. 120\u00b0<br \/>\n   C. 130\u00b0<br \/>\n   D. 140\u00b0<br \/>\n   Answer: A. 110\u00b0<br \/>\n   Explanation: The exterior angle at the 70\u00b0 vertex is 50\u00b0 + 60\u00b0 = 110\u00b0.<\/p>\n<p>3. Question: If an exterior angle of a triangle measures 100\u00b0 and one non-adjacent interior angle is 40\u00b0, what is the other non-adjacent interior angle?<br \/>\n   A. 50\u00b0<br \/>\n   B. 60\u00b0<br \/>\n   C. 70\u00b0<br \/>\n   D. 80\u00b0<br \/>\n   Answer: B. 60\u00b0<br \/>\n   Explanation: The exterior angle equals the sum of the two non-adjacent interior angles, so if one is 40\u00b0, the other is 100\u00b0 &#8211; 40\u00b0 = 60\u00b0.<\/p>\n<p>4. Question: In a triangle, the interior angles are 25\u00b0, 65\u00b0, and 90\u00b0. What is the exterior angle at the 90\u00b0 vertex?<br \/>\n   A. 90\u00b0<br \/>\n   B. 115\u00b0<br \/>\n   C. 155\u00b0<br \/>\n   D. 180\u00b0<br \/>\n   Answer: A. 90\u00b0<br \/>\n   Explanation: The exterior angle at the 90\u00b0 vertex is 25\u00b0 + 65\u00b0 = 90\u00b0.<\/p>\n<p>5. Question: An exterior angle of a triangle is 135\u00b0. If one non-adjacent interior angle is 55\u00b0, what is the measure of the other?<br \/>\n   A. 70\u00b0<br \/>\n   B. 80\u00b0<br \/>\n   C. 90\u00b0<br \/>\n   D. 100\u00b0<br \/>\n   Answer: B. 80\u00b0<br \/>\n   Explanation: The exterior angle is the sum of the two non-adjacent interior angles, so 135\u00b0 &#8211; 55\u00b0 = 80\u00b0.<\/p>\n<p>6. Question: For a triangle with angles 40\u00b0, 70\u00b0, and 70\u00b0, the exterior angle at one of the 70\u00b0 vertices is:<br \/>\n   A. 110\u00b0<br \/>\n   B. 120\u00b0<br \/>\n   C. 140\u00b0<br \/>\n   D. 150\u00b0<br \/>\n   Answer: A. 110\u00b0<br \/>\n   Explanation: The exterior angle at a 70\u00b0 vertex is 40\u00b0 + 70\u00b0 = 110\u00b0.<\/p>\n<p>7. Question: If the exterior angle at a vertex is 95\u00b0 and the adjacent interior angle is 85\u00b0, what is the sum of the other two interior angles?<br \/>\n   A. 10\u00b0<br \/>\n   B. 95\u00b0<br \/>\n   C. 180\u00b0<br \/>\n   D. 95\u00b0 (same as exterior)<br \/>\n   Answer: B. 95\u00b0<br \/>\n   Explanation: The exterior angle equals the sum of the two non-adjacent interior angles, which is 95\u00b0.<\/p>\n<p>8. Question: In a triangle, angles are 30\u00b0, 100\u00b0, and 50\u00b0. The exterior angle at the 100\u00b0 vertex is:<br \/>\n   A. 80\u00b0<br \/>\n   B. 130\u00b0<br \/>\n   C. 150\u00b0<br \/>\n   D. 180\u00b0<br \/>\n   Answer: A. 80\u00b0<br \/>\n   Explanation: The exterior angle at the 100\u00b0 vertex is 30\u00b0 + 50\u00b0 = 80\u00b0.<\/p>\n<p>9. Question: An exterior angle measures 160\u00b0. One non-adjacent interior angle is 70\u00b0. What is the other?<br \/>\n   A. 90\u00b0<br \/>\n   B. 100\u00b0<br \/>\n   C. 110\u00b0<br \/>\n   D. 120\u00b0<br \/>\n   Answer: A. 90\u00b0<br \/>\n   Explanation: The exterior angle is the sum, so 160\u00b0 &#8211; 70\u00b0 = 90\u00b0.<\/p>\n<p>10. Question: For a triangle with angles 20\u00b0, 30\u00b0, and 130\u00b0, the exterior angle at the 130\u00b0 vertex is:<br \/>\n    A. 50\u00b0<br \/>\n    B. 60\u00b0<br \/>\n    C. 70\u00b0<br \/>\n    D. 80\u00b0<br \/>\n    Answer: A. 50\u00b0<br \/>\n    Explanation: The exterior angle at the 130\u00b0 vertex is 20\u00b0 + 30\u00b0 = 50\u00b0.<\/p>\n<p>11. Question: If an exterior angle is 105\u00b0 and one non-adjacent angle is 45\u00b0, the other non-adjacent angle is:<br \/>\n    A. 50\u00b0<br \/>\n    B. 60\u00b0<br \/>\n    C. 70\u00b0<br \/>\n    D. 80\u00b0<br \/>\n    Answer: B. 60\u00b0<br \/>\n    Explanation: 105\u00b0 &#8211; 45\u00b0 = 60\u00b0, as it equals the sum of the two non-adjacent angles.<\/p>\n<p>12. Question: In a triangle, angles are 45\u00b0, 45\u00b0, and 90\u00b0. Exterior angle at the 90\u00b0 vertex:<br \/>\n    A. 90\u00b0<br \/>\n    B. 135\u00b0<br \/>\n    C. 90\u00b0 (again)<br \/>\n    D. 45\u00b0<br \/>\n    Answer: A. 90\u00b0<br \/>\n    Explanation: It is 45\u00b0 + 45\u00b0 = 90\u00b0.<\/p>\n<p>13. Question: Exterior angle at a vertex is 140\u00b0. One non-adjacent interior angle is 60\u00b0. The other is:<br \/>\n    A. 70\u00b0<br \/>\n    B. 80\u00b0<br \/>\n    C. 90\u00b0<br \/>\n    D. 100\u00b0<br \/>\n    Answer: B. 80\u00b0<br \/>\n    Explanation: 140\u00b0 &#8211; 60\u00b0 = 80\u00b0.<\/p>\n<p>14. Question: For angles 35\u00b0, 75\u00b0, and 70\u00b0, exterior angle at 75\u00b0 vertex:<br \/>\n    A. 105\u00b0<br \/>\n    B. 110\u00b0<br \/>\n    C. 115\u00b0<br \/>\n    D. 120\u00b0<br \/>\n    Answer: A. 105\u00b0<br \/>\n    Explanation: 35\u00b0 + 70\u00b0 = 105\u00b0.<\/p>\n<p>15. Question: An exterior angle of 125\u00b0 has non-adjacent angles of 55\u00b0 and:<br \/>\n    A. 60\u00b0<br \/>\n    B. 70\u00b0<br \/>\n    C. 80\u00b0<br \/>\n    D. 90\u00b0<br \/>\n    Answer: B. 70\u00b0<br \/>\n    Explanation: 125\u00b0 &#8211; 55\u00b0 = 70\u00b0.<\/p>\n<p>16. Question: In a triangle with angles 10\u00b0, 20\u00b0, and 150\u00b0, exterior at 150\u00b0:<br \/>\n    A. 30\u00b0<br \/>\n    B. 40\u00b0<br \/>\n    C. 50\u00b0<br \/>\n    D. 60\u00b0<br \/>\n    Answer: A. 30\u00b0<br \/>\n    Explanation: 10\u00b0 + 20\u00b0 = 30\u00b0.<\/p>\n<p>17. Question: Exterior angle is 115\u00b0. One non-adjacent is 50\u00b0. Other is:<br \/>\n    A. 55\u00b0<br \/>\n    B. 65\u00b0<br \/>\n    C. 75\u00b0<br \/>\n    D. 85\u00b0<br \/>\n    Answer: B. 65\u00b0<br \/>\n    Explanation: 115\u00b0 &#8211; 50\u00b0 = 65\u00b0.<\/p>\n<p>18. Question: Angles 60\u00b0, 60\u00b0, and 60\u00b0. Exterior at one vertex:<br \/>\n    A. 120\u00b0<br \/>\n    B. 60\u00b0<br \/>\n    C. 180\u00b0<br \/>\n    D. 90\u00b0<br \/>\n    Answer: A. 120\u00b0<br \/>\n    Explanation: 60\u00b0 + 60\u00b0 = 120\u00b0.<\/p>\n<p>19. Question: Exterior angle 145\u00b0. Non-adjacent angles sum to:<br \/>\n    A. 145\u00b0<br \/>\n    B. 35\u00b0<br \/>\n    C. 180\u00b0<br \/>\n    D. 90\u00b0<br \/>\n    Answer: A. 145\u00b0<br \/>\n    Explanation: It equals the sum directly.<\/p>\n<p>20. Question: For angles 25\u00b0, 125\u00b0, and 30\u00b0, exterior at 125\u00b0:<br \/>\n    A. 55\u00b0<br \/>\n    B. 65\u00b0<br \/>\n    C. 75\u00b0<br \/>\n    D. 85\u00b0<br \/>\n    Answer: A. 55\u00b0<br \/>\n    Explanation: 25\u00b0 + 30\u00b0 = 55\u00b0.<\/p>\n<\/div>\n<p><button id=\"copyquestionsBtn\" type=\"button\" onclick=\"myFunction()\">Copy Quiz Questions<\/button>\u00a0\u00a0or\u00a0\u00a0<button id=\"genquestionsBtn\" class=\"genbtnstyle\" type=\"button\" onclick=\"myFunction1()\">Generate Questions using AI<\/button><\/p>\n<h3 id=\"3\">Part 3: AI Question Generator &#8211; Automatically Create Questions for Your Next Assessment<\/h3>\n<div class=\"embed_video_blog\">\n<div class=\"embed-responsive embed-responsive-16by9\" style=\"margin-bottom:16px;\">\n <iframe class=\"embed-responsive-item\" src=\"https:\/\/www.youtube.com\/embed\/zlqho9igH2Y\"><\/iframe>\n<\/div>\n<\/div>\n<div class=\"getstarted-container\">\n<p style=\"margin-bottom: 13px;\">Automatically generate questions using AI<\/p>\n<div class=\"blog_double_btn clearfix\">\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/features\/ai-question-generator.html?refer=download_questions\" target=\"_blank\" rel=\"noopener\">Try AI Question Generator<\/a><\/div>\n<div class=\"p-style-b\">Generate questions for any topic<\/div>\n<\/div>\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/sign-up.html?refer=blog_btn\"> Create A Quiz<\/a><\/div>\n<div class=\"p-style-b\">100% free forever<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><script src=\"https:\/\/unpkg.com\/@popperjs\/core@2\"><\/script><br \/>\n<script src=\"https:\/\/unpkg.com\/tippy.js@6\"><\/script><\/p>\n<p><script type=\"text\/javascript\">\nfunction myFunction() {\nvar copyText = document.getElementById(\"copy_questions\");console.log(copyText.innerText);navigator.clipboard.writeText(copyText.innerText);\n}\nfunction myFunction1() {\n\u00a0  \u00a0 \u00a0 window.open(\"https:\/\/onlineexammaker.com\/features\/ai-question-generator.html\");\n\u00a0 }\nvar copy1, copy2;\n        tippy('#copyquestionsBtn', {\n        'content': \"Copy questions to clipboard\",\n       trigger: 'mouseenter',\n       'onCreate':function(instance){\n              copy1 = instance;\n       },\n       'onTrigger' : function(instance, event) {\n              copy2.hide();\n       }\n       });\n       tippy('#copyquestionsBtn', {\n       'content': \"Copied successfully\",\n       trigger: 'click',\n       'onCreate':function(instance){\n              copy2 = instance;\n       },\n       'onTrigger' : function(instance, event) {\n              copy1.hide();\n       }\n       });\ntippy('#genquestionsBtn', {\n        'content': \"Generate questions using AI for free\",\n         trigger: 'mouseenter'\n       });\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Exterior Angle Theorem states that in a triangle, the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. For example, if a triangle has interior angles of 30 degrees and 70 degrees adjacent to the exterior angle, and the third interior angle is 80 [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":80085,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[353],"tags":[],"class_list":["post-80402","post","type-post","status-publish","format-standard","hentry","category-questions-answers"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>20 Exterior Angle Theorem Quiz Questions and Answers - OnlineExamMaker Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/onlineexammaker.com\/kb\/20-exterior-angle-theorem-quiz-questions-and-answers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"20 Exterior Angle Theorem Quiz Questions and Answers - OnlineExamMaker Blog\" \/>\n<meta property=\"og:description\" content=\"The Exterior Angle Theorem states that in a triangle, the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. 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