[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467781-105":59,"doc-detail-467781-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-answer-key","Adding a Ray and Calculating Angle - Answer Key","","Geometry worksheet on adding a ray to split an angle into two smaller angles and then finding the missing angle measures. Each problem prompts drawing and labeling ray BD so it intersects angle ABC, given one part of the angle. Students then calculate the remaining angle measure, such as ∠DBC or ∠ABD, for multiple angle configurations. 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Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 50 degrees.\u003Cbr>B. What is the measure of angle DBC?\u003Cbr>3)\u003Cbr>166° |  |  |  |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 66 degrees.\u003Cbr>B. What is the measure of angle DBC?\u003Cbr>161° |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| C |  |  | |  |  | A |  | C | |  |  | A |  |  |\n| B |  |  |  |  |  |  |  | B |  |  |  |  |  |  |\n| A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 52 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 99 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |  |\n| 5) | C\u003Cbr>\u003Cbr>B |  |  | A |  |  |  | C\u003Cbr>\u003Cbr>\u003Cbr>72°\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 4 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4 1-6)[ 4](Math www.CommonCoreSheets.com 4 1-6)[ 1-6](Math www.CommonCoreSheets.com 4 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. 1) |  |  |  |  | A |  | 2)\u003Cbr>4)\u003Cbr>6) | \u003Cbr>\u003Cbr>C\u003Cbr>\u003Cbr>97°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>66\u003Cbr>\u003Cbr>B |  |  | A |  | Answers 1.  84°  2.  31°  3.  114°  4.  62°  5.  53°  6.  41°  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| C |  | 134° D\u003Cbr>\u003Cbr>B |  |  |  |  |  |  |  |  |  |  |  |\n| A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 50 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 ABD measuring 66 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |  |\n| 3)\u003Cbr>5) | C |  | \u003Cbr>\u003Cbr>\u003Cbr>114\u003Cbr>166°\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>52\u003Cbr>B |  |  | A |  | C | \u003Cbr>\u003Cbr>99\u003Cbr>161°\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>62\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 52 degrees.\u003Cbr>B. What is the measure of angle ABD?\u003Cbr>C |  |  |  |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 99 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | C\u003Cbr>\u003Cbr>\u003Cbr>72°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  |  |  |\n|  | \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 4 1-6)[ www.CommonCoreSheets.com](Math www.Commo","cbCaidgzik0MpODH","https://ap.wps.com/l/cbCaidgzik0MpODH","pdf",52031,"English","# Solve Each Problem\n## Draw and Label the Ray\n## Calculate the Missing Angle","[{\"question\":\"What does the worksheet ask students to do with ray BD?\",\"answer\":\"Students draw and label ray BD so it cuts angle ABC into two smaller angles.\"},{\"question\":\"How do you determine the unknown angle measure (e.g., angle DBC or ABD)?\",\"answer\":\"Use the given angle partition information from the diagram prompts, where one part of ∠ABC is specified and the other part must be calculated.\"},{\"question\":\"What is included in the document besides the problems?\",\"answer\":\"An answer key provides the angle measures for each numbered problem.\"}]","Adding a Ray and Calculating Angle - Answer Key | PDF",1790773348]