[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466493-105":59,"doc-detail-466493-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","using-the-angle-sum-of-a-triangle-determine-the-correct-statement","Using the Angle Sum of a Triangle - Determine the Correct Statement","","Worksheets focused on the angle sum of a triangle, requiring students to select which statement must be true. Each item provides given angle equalities such as m∠2 = m∠3 along with specific measures (e.g., 50°, 45°, 75°, 65°) and then offers multiple-choice expressions combining angles. 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The document includes an Answers section listing the correct choice for each question number.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},466493,1792940801,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},8796095462418,"https://ap-avatar.wpscdn.com/avatar/80000253c1241d02b47?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778826106357471780","Using the Angle Sum of a Triangle  \nName:  \n\n| Determine which statement must be true.\u003Cbr>1) In the triangle shown, m∠2 = m∠3 and m∠3 = 50° .\u003Cbr>\u003Cbr>3\u003Cbr>1 2\u003Cbr>A. m∠1 + m∠2 = 50°\u003Cbr>B. m∠1 + m∠2 = 130°\u003Cbr>C. m∠1 + m∠2 = 100°\u003Cbr>D. m∠1 + m∠2 = 180°\u003Cbr>3) In the triangle shown, m∠2 = m∠3 and m∠1 = 100° .\u003Cbr>\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 80°\u003Cbr>C. m∠1 + m∠3 = 100°\u003Cbr>D. m∠1 + m∠3 = 180°\u003Cbr>5) In the triangle shown, m∠1 = m∠2 and m∠3 = 50° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 100°\u003Cbr>B. m∠2 + m∠3 = 180°\u003Cbr>C. m∠2 + m∠3 = 50°\u003Cbr>D. m∠2 + m∠3 = 115° | 2)\u003Cbr>4)\u003Cbr>6) | In the triangle shown, m∠1 = m∠3 and m∠3 = 45° .\u003Cbr>\u003Cbr>A. m∠1 + m∠2 = 180°\u003Cbr>B. m∠1 + m∠2 = 90°\u003Cbr>C. m∠1 + m∠2 = 45°\u003Cbr>D. m∠1 + m∠2 = 135°\u003Cbr>In the triangle shown, m∠1 = m∠2 and m∠2 = 75° .\u003Cbr>\u003Cbr>3\u003Cbr>12\u003Cbr>A. m∠1 + m∠3 = 105°\u003Cbr>B. m∠1 + m∠3 = 150°\u003Cbr>C. m∠1 + m∠3 = 180°\u003Cbr>D. m∠1 + m∠3 = 75°\u003Cbr>In the triangle shown, m∠1 = m∠2 and m∠2 = 65° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 130°\u003Cbr>B. m∠2 + m∠3 = 115°\u003Cbr>C. m∠2 + m∠3 = 180°\u003Cbr>D. m∠2 + m∠3 = 65° |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nUsing the Angle Sum of a Triangle  \nName: Answer Key  \n\n| Determine which statement must be true.\u003Cbr>1) In the triangle shown, m∠2 = m∠3 and m∠3 = 50° .\u003Cbr>\u003Cbr>3\u003Cbr>1 2\u003Cbr>A. m∠1 + m∠2 = 50°\u003Cbr>B. m∠1 + m∠2 = 130°\u003Cbr>C. m∠1 + m∠2 = 100°\u003Cbr>D. m∠1 + m∠2 = 180°\u003Cbr>3) In the triangle shown, m∠2 = m∠3 and m∠1 = 100° .\u003Cbr>\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 80°\u003Cbr>C. m∠1 + m∠3 = 100°\u003Cbr>D. m∠1 + m∠3 = 180°\u003Cbr>5) In the triangle shown, m∠1 = m∠2 and m∠3 = 50° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 100°\u003Cbr>B. m∠2 + m∠3 = 180°\u003Cbr>C. m∠2 + m∠3 = 50°\u003Cbr>D. m∠2 + m∠3 = 115° | 2)\u003Cbr>4)\u003Cbr>6) | In the triangle shown, m∠1 = m∠3 and m∠3 = 45° .\u003Cbr>\u003Cbr>A. m∠1 + m∠2 = 180°\u003Cbr>B. m∠1 + m∠2 = 90°\u003Cbr>C. m∠1 + m∠2 = 45°\u003Cbr>D. m∠1 + m∠2 = 135°\u003Cbr>In the triangle shown, m∠1 = m∠2 and m∠2 = 75° .\u003Cbr>\u003Cbr>3\u003Cbr>12\u003Cbr>A. m∠1 + m∠3 = 105°\u003Cbr>B. m∠1 + m∠3 = 150°\u003Cbr>C. m∠1 + m∠3 = 180°\u003Cbr>D. m∠1 + m∠3 = 75°\u003Cbr>In the triangle shown, m∠1 = m∠2 and m∠2 = 65° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 130°\u003Cbr>B. m∠2 + m∠3 = 115°\u003Cbr>C. m∠2 + m∠3 = 180°\u003Cbr>D. m∠2 + m∠3 = 65° |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  B \u003Cbr>2.  D \u003Cbr>3.  A \u003Cbr>4.  A \u003Cbr>5.  D \u003Cbr>6.  B  |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nSeed: 1131696093-1114  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nUsing the Angle Sum of a Triangle  \nName:  \n\n| Determine which statement must be true.\u003Cbr>1) In the triangle shown, m∠2 = m∠3 and m∠3 = 50° .\u003Cbr>\u003Cbr>3\u003Cbr>1 2\u003Cbr>A. m∠1 + m∠2 = 50°\u003Cbr>B. m∠1 + m∠2 = 130°\u003Cbr>C. m∠1 + m∠2 = 100°\u003Cbr>D. m∠1 + m∠2 = 180°\u003Cbr>3) In the triangle shown, m∠2 = m∠3 and m∠1 = 100° .\u003Cbr>\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 80°\u003Cbr>C. m∠1 + m∠3 = 100°\u003Cbr>D. m∠1 + m∠3 = 180° | 2)\u003Cbr>4) | In the triangle shown, m∠1 = m∠3 and m∠3 = 45° .\u003Cbr>\u003Cbr>A. m∠1 + m∠2 = 180°\u003Cbr>B. m∠1 + m∠2 = 90°\u003Cbr>C. m∠1 + m∠2 = 45°\u003Cbr>D. m∠1 + m∠2 = 135°\u003Cbr>In the triangle shown, m∠1 = m∠2 and m∠2 = 75° .\u003Cbr>\u003Cbr>A. m∠1 + m∠3 = 105°\u003Cbr>B. m∠1 + m∠3 = 150°\u003Cbr>C. m∠1 + m∠3 = 180°\u003Cbr>D. m∠1 + m∠3 = 75° | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| 1-4 |  |  | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)","cbCaie4XSfwQwDeM","https://ap.wps.com/l/cbCaie4XSfwQwDeM","pdf",45342,"English","# Determine which statement must be true\n## Question 1\n## Question 2\n## Question 3\n## Question 4\n## Question 5\n## Question 6\n## Answers","[{\"question\":\"What concept do the problems test in this worksheet?\",\"answer\":\"They test the angle sum of a triangle and how to use given angle relationships and measures to form true angle-sum statements.\"},{\"question\":\"How are the questions structured?\",\"answer\":\"Each question gives angle information (for example, equal angles and a degree measure) and asks students to choose the statement that must be true from multiple-choice options.\"},{\"question\":\"Is an answer key provided?\",\"answer\":\"Yes. The document includes an Answers section listing the correct choice for each question number.\"}]","Using the Angle Sum of a Triangle - Determine the Correct Statement | PDF",1790771345]