[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-466916-en":3,"doc-seo-466916-105":31,"detail-sidebar-cat-0-en-105":98},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":28,"seo_description":14,"update_tm":29,"read_time":30},466916,8796095461610,"Oliver","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c",4,"Exam","Why the Angles of a Triangle Add to 180","Worksheet practice focused on triangle angle relationships and the principle that angles in a triangle combine in a way that relates to a straight line. Learners complete problems by using angle-sum reasoning to find missing angles, then verify results through given answer entries. Several versions appear with different angle values, including cases where two angles must be solved from “Together they measure 180°” statements. Answer key sections provide the missing angle results for each set.","Why the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a straight line. 1) |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- | --- |\n| | |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is\u003Cbr>\u003Cbr>87° |  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-3)[ 1](Math www.CommonCoreSheets.com 1 1-3)[ 1-3](Math www.CommonCoreSheets.com 1 1-3) 67 33 0  \nWhy the Angles of a Triangle Add to 180  \nName: Answer Key  \n\n| The three corners of the triangle are fitted together on a straight line. 1) |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers\u003Cbr>180°, 51° |\n| --- | --- | --- | --- |\n| | |  | 180°, 45° |\n|  |  |  | 180°, 47° |\n|  |  |  |  |\n| Together they measure 180°\u003Cbr>2)\u003Cbr>| The missing angle is 51°\u003Cbr>\u003Cbr>87° |  |  |\n| Together they measure 180°\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure 180° | The missing angle is 45°\u003Cbr>\u003Cbr>The missing angle is 47° |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-3)[ 1](Math www.CommonCoreSheets.com 1 1-3)[ 1-3](Math www.CommonCoreSheets.com 1 1-3) 67 33 0  \nWhy the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a straight line. 1) |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- | --- |\n| | |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is\u003Cbr>\u003Cbr>87° |  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-3  \n67 33 0  \n\n|  |  |  |\n| --- | --- | --- |\n\nWhy the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a straight line. |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>| |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is\u003Cbr>|  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  |  |\n\n[Math](Math www.CommonCoreSheets.com 2 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2 1-3)[ 2](Math www.CommonCoreSheets.com 2 1-3)[ 1-3](Math www.CommonCoreSheets.com 2 1-3) 67 33 0  \nWhy the Angles of a Triangle Add to 180  \nName: Answer Key  \n\n| The three corners of the triangle are fitted together on a straight line. |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers\u003Cbr>180°, 45° |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>| |  |  |\n|  |  |  | 180°, 46° |\n|  |  |  | 180°, 75° |\n|  |  |  |  |\n| Together they measure 180°\u003Cbr>2)\u003Cbr>| The missing angle is 45°\u003Cbr>|  |  |\n| Together they measure 180°\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure 180° | The missing angle is 46°\u003Cbr>\u003Cbr>The missing angle is 75° |  |  |\n\n[Math](Math www.CommonCoreSheets.com 2 1-3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2 1-3)[ 2](Math www.CommonCoreSheets.com 2 1-3)[ 1-3](Math www.CommonCoreSheets.com 2 1-3) 67 33 0  \nWhy the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a straight line. |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>| |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| Together they measure\u003Cbr>2)\u003Cbr>| The missing angle is\u003Cbr>|  |  |\n| Together they measure\u003Cbr>3)\u003Cbr>\u003Cbr>Together they measure | The missing angle is\u003Cbr>\u003Cbr>The missing angle is |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2  \n1-3  \n67 33 0  \n\n|  |  |  |\n| --- | --- | --- |\n\nWhy the Angles of a Triangle Add to 180  \nName:  \n\n| The three corners of the triangle are fitted together on a 1) |  |  | straight line.\u003Cbr>60° | 1.\u003Cbr>2.\u003Cbr>3. | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | ","cbCaihwY9O8n3I5y","https://ap.wps.com/l/cbCaihwY9O8n3I5y","pdf",437591,7,1,30,"English","en",105,"# Why the Angles of a Triangle Add to 180\n## Angle-sum on a straight line\n## Finding missing triangle angles\n## Answer key","[{\"question\":\"Why do the angles in these triangle problems add to 180 degrees?\",\"answer\":\"Because the three corners are arranged so they fit together on a straight line, forming an angle sum of 180°.\"},{\"question\":\"How do you find a missing angle in the triangle?\",\"answer\":\"Use the statement “Together they measure 180°” and subtract the known angle values from 180° to get the missing one.\"},{\"question\":\"What information is provided in the answer key?\",\"answer\":\"The answer key lists the computed missing angles and the final angle measures for each numbered problem set.\"}]","Why the Angles of a Triangle Add to 180 | 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