[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467784-105":59,"doc-detail-467784-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","adding-a-ray-and-calculating-angle-solve-each-problem","Adding a Ray and Calculating Angle - Solve Each Problem","","Angle-measurement practice focused on adding a ray to divide an angle into two smaller angles and then calculating the unknown angle measures. Problems instruct drawing and labeling ray BD to split angle ABC, given one of the resulting angles such as 31°, 58°, 73°, or 33°, and then finding the complementary measure. 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Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 31 degrees.\u003Cbr>B. What is the measure of angle ABD?\u003Cbr>163° |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 31 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  | C\u003Cbr>\u003Cbr>B |  | A |  |  |  |\n|  | C | |  | A |  |  |  |  |  |  |  |\n|  | B |  |  |  |  |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 73 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 58 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n|  | C\u003Cbr>\u003Cbr>\u003Cbr>73°\u003Cbr>B |  | A |  |  | C\u003Cbr>\u003Cbr>B |  |  | A |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 33 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 31 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-6)[ 5](Math www.CommonCoreSheets.com 5 1-6)[ 1-6](Math www.CommonCoreSheets.com 5 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\nAdding a Ray and Calculating Angle  \nName: Answer Key  \n\n| Solve each problem. |  |  |  |  | 2)\u003Cbr>4)\u003Cbr>6) | C\u003Cbr>\u003Cbr>D\u003Cbr>B | A |  |  | Answers 1.  35°  2.  50°  3.  90°  4.  49°  5.  40°  6.  87°  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | C\u003Cbr>\u003Cbr>\u003Cbr>66°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 31 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 31 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |\n|  | C | D\u003Cbr>\u003Cbr>B |  | A |  | C\u003Cbr>\u003Cbr>B |  | A |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 73 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 58 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n|  | C\u003Cbr>\u003Cbr>\u003Cbr>73°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  |  | D\u003Cbr>\u003Cbr>B |  |  | A |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 33 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 31 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-6)[ 5](Math www.CommonCoreSheets.com 5 1-6)[ 1-6](Math www.CommonCoreSheets.com 5 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\nAdding a Ray and Calculating Angle  \nName:  \n\n| Solve each problem. |  |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | -","cbCaivAAn1FbJOK5","https://ap.wps.com/l/cbCaivAAn1FbJOK5","pdf",52017,"English","# Solve Each Problem\n## Draw and label ray BD to split angle ABC\n## Find the measure of the requested angle","[{\"question\":\"What do the problems ask you to do with ray BD?\",\"answer\":\"Draw and label ray BD so it cuts angle ABC into two smaller angles.\"},{\"question\":\"If angle DBC is given, what should you find next?\",\"answer\":\"Find the measure of angle ABD (the other part of the split angle).\"},{\"question\":\"Where can you check the correct answers?\",\"answer\":\"Use the provided answer key labeled “Answer Key.”\"}]","Adding a Ray and Calculating Angle - Solve Each Problem | PDF",1790773357]