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Students are instructed to draw and label ray BD so it divides angle ABC into two smaller angles, using a given angle measure (angle ABD or angle DBC). For each item, the worksheet then asks for the remaining angle measurement, reinforcing angle addition and angle relationships. An answer key provides the final angle values for problems 1 through 6.",{"@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/467775/",{"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/467775.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":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask students to do for each geometry problem?","Question",{"text":112,"@type":113},"Students draw and label ray BD so it cuts angle ABC into two smaller angles, then determine the requested remaining angle measure.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the two smaller angles related when ray BD is drawn?",{"text":117,"@type":113},"The ray BD divides angle ABC into two adjacent angles (such as angle ABD and angle DBC), so their measures combine to match angle ABC.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct answers be found?",{"text":121,"@type":113},"The document includes an Answer Key listing the angle measures for problems 1 through 6.","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},467775,1790828360,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Adding a Ray and Calculating Angle  \nName:  \n\n| Solve each problem. 1)\u003Cbr>\u003Cbr>B |  |  | A | 2)\u003Cbr>4) | C\u003Cbr>\u003Cbr>\u003Cbr>68°\u003Cbr>B |  | A |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 79 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 37 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) | C | A |  |  | 148° |  |  | A |  |  |\n|  | \u003Cbr>|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  | C | |  |  |  |  |\n|  | B |  |  |  | B |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 56 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 71 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n| 5) | C\u003Cbr>\u003Cbr>B | A |  | 6) | C\u003Cbr>\u003Cbr>\u003Cbr>74°\u003Cbr>B |  | A |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 30 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 34 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-6)[ 1](Math www.CommonCoreSheets.com 1 1-6)[ 1-6](Math www.CommonCoreSheets.com 1 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. |  |  |  |  |  |  |  |  | Answers 1.  51°  2.  31°  3.  32°  4.  77°  5.  52°  6.  40°  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | D |  |  | 2)\u003Cbr>4)\u003Cbr>6) | C\u003Cbr>\u003Cbr>\u003Cbr>68°\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 ABD measuring 79 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 37 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |\n|  | C\u003Cbr>\u003Cbr>B | A |  |  | D |  |  | A |  |\n|  |  |  |  |  | C | \u003Cbr>B\u003Cbr>\u003Cbr>71\u003Cbr>148°\u003Cbr>\u003Cbr>\u003Cbr>77\u003Cbr>|  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 56 degrees.\u003Cbr>B. What is the measure of angle DBC?\u003Cbr>C |  |  |  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle DBC measuring 71 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n|  |  |  |  |  | C\u003Cbr>\u003Cbr>\u003Cbr>74°\u003Cbr>\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  | A |  |  |\n|  | \u003Cbr>D\u003Cbr>B | A |  |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 30 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 34 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-6)[ 1](Math www.CommonCoreSheets.com 1 1-6)[ 1-6](Math www.CommonCoreSheets.com 1 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| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n","cbCaij7rFQ8MUZkx","https://ap.wps.com/l/cbCaij7rFQ8MUZkx","pdf",533519,"English","# Solve each problem\n## Draw and label ray BD\n## Find the remaining angle measure","[{\"question\":\"What does the worksheet ask students to do for each geometry problem?\",\"answer\":\"Students draw and label ray BD so it cuts angle ABC into two smaller angles, then determine the requested remaining angle measure.\"},{\"question\":\"How are the two smaller angles related when ray BD is drawn?\",\"answer\":\"The ray BD divides angle ABC into two adjacent angles (such as angle ABD and angle DBC), so their measures combine to match angle ABC.\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"The document includes an Answer Key listing the angle measures for problems 1 through 6.\"}]","Adding a Ray and Calculating Angle | PDF",1790773344,76]