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Students solve multiple problems by drawing and labeling ray BD to bisect angle ABC into two smaller angles. Each item specifies one of the resulting angle measures (such as 49°, 36°, 62°, or others) and asks for the measure of the remaining angle, including determining either angle ABD or angle DBC. An accompanying answer key lists the final angle values.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/adding-a-ray-and-calculating-angle-problem-set/467779/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/adding-a-ray-and-calculating-angle-problem-set/467779.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do students need to do for each problem?","Question",{"text":112,"@type":113},"Draw and label ray BD so it cuts angle ABC into two smaller angles, then use the given measure to determine the other angle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which angle is typically asked for after drawing ray BD?",{"text":117,"@type":113},"The worksheet asks for either the measure of angle ABD or the measure of angle DBC, depending on the specific problem.",{"name":119,"@type":110,"acceptedAnswer":120},"What information is provided to help calculate the unknown angle?",{"text":121,"@type":113},"Each problem provides the measure of one of the two angles formed, such as angle DBC or angle ABD, and the remaining angle can be found accordingly.","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},467779,1792918211,{"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":29,"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},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Adding a Ray and Calculating Angle  \nName:  \n\n| Solve each problem. |  |  |  |  |  | C\u003Cbr>\u003Cbr>\u003Cbr>73°\u003Cbr>B |  | A |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3) | C\u003Cbr>\u003Cbr>B |  | A |  | 2)\u003Cbr>4) |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 49 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 36 degrees.\u003Cbr>B. What is the measure of angle ABD?\u003Cbr>162° |  |  |  |  |  |\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 62 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 74 degrees.\u003Cbr>B. What is the measure of angle DBC?\u003Cbr>166° |  |  |  |  |  |\n| 5) C 6) |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>\u003Cbr>73°\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 DBC measuring 39 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 50 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-6)[ 3](Math www.CommonCoreSheets.com 3 1-6)[ 1-6](Math www.CommonCoreSheets.com 3 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. |  |  |  |  |  | C\u003Cbr>\u003Cbr>\u003Cbr>73°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  | Answers 1.  51°  2.  37°  3.  47°  4.  88°  5.  34°  6.  116°  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3) | C |  |  |  | 2)\u003Cbr>4) |  |  |  |  |  |\n|  | |  | A |  |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 49 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 36 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n|  | \u003Cbr>B |  |  | A |  | C | D\u003Cbr>\u003Cbr>B\u003Cbr>\u003Cbr>88\u003Cbr>162°\u003Cbr>\u003Cbr>\u003Cbr>74\u003Cbr>|  | A |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 62 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 74 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |\n| 5) C 6) |  |  |  |  |  | C | \u003Cbr>\u003Cbr>\u003Cbr>116\u003Cbr>166°\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>50\u003Cbr>B |  | A |  |\n| \u003Cbr>\u003Cbr>73°\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 39 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 50 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-6)[ 3](Math www.CommonCoreSheets.com 3 1-6)[ 1-6](Math www.CommonCoreSheets.com 3 1-6) 83 67 50 33 1","cbCaisn628glUemr","https://ap.wps.com/l/cbCaisn628glUemr","pdf",52218,"English","# Solve each problem\n## Draw and label ray BD\n## Find angle measures (ABD or DBC)","[{\"question\":\"What do students need to do for each problem?\",\"answer\":\"Draw and label ray BD so it cuts angle ABC into two smaller angles, then use the given measure to determine the other angle.\"},{\"question\":\"Which angle is typically asked for after drawing ray BD?\",\"answer\":\"The worksheet asks for either the measure of angle ABD or the measure of angle DBC, depending on the specific problem.\"},{\"question\":\"What information is provided to help calculate the unknown angle?\",\"answer\":\"Each problem provides the measure of one of the two angles formed, such as angle DBC or angle ABD, and the remaining angle can be found accordingly.\"}]","Adding a Ray and Calculating Angle - Problem Set | PDF",1790773347]