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 |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | C\u003Cbr>\u003Cbr>\u003Cbr>71°\u003Cbr>B | A |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  | C | |  |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  | B |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 41 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 68 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | C\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 75 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 53 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |  |\n|  | C\u003Cbr>\u003Cbr>B |  | A |  |  | C |  | A |  |  |  |  |\n|  |  |  |  |  |  | \u003Cbr>|  |  |  |  |  |  |\n|  |  |  |  |  |  | B |  |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 55 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 56 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-6)[ 9](Math www.CommonCoreSheets.com 9 1-6)[ 1-6](Math www.CommonCoreSheets.com 9 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>94\u003Cbr>68\u003Cbr>162°\u003Cbr>\u003Cbr>D\u003Cbr>\u003Cbr>\u003Cbr>B |  |  | A | Answers 1.  30°  2.  94°  3.  47°  4.  67°  5.  54°  6.  31°  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | C\u003Cbr>\u003Cbr>\u003Cbr>71°\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 ABD measuring 41 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 68 degrees.\u003Cbr>B. What is the measure of angle DBC? |  |  |  |  |  |\n|  | D\u003Cbr>\u003Cbr>B |  |  | A |  | \u003Cbr>B |  |  | A |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 75 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 53 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n|  |  |  |  |  |  | C |  | A |  |  |  |\n|  |  |  |  |  |  | \u003Cbr>|  |  |  |  |  |\n|  | |  | A |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  | B |  |  |  |  |  |\n|  | A. Draw and label ray BD so that it cuts angle ABC into two smaller angles, with angle ABD measuring 55 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 56 degrees.\u003Cbr>B. What is the measure of angle ABD? |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-6)[ 9](Math www.CommonCoreSheets.com 9 1-6)[ 1-6](Math www.CommonCoreSheets.com 9 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  ","cbCaipeAHUjxPWiO","https://ap.wps.com/l/cbCaipeAHUjxPWiO","pdf",52126,"English","# Solve each problem\n## Draw and label ray BD\n## Find the measure of the remaining angle","[{\"question\":\"What does “draw and label ray BD” mean in these problems?\",\"answer\":\"It means drawing ray BD so that it intersects the vertex of angle ABC and splits the angle into two smaller angles: angle ABD and angle DBC.\"},{\"question\":\"How do you find angle DBC or angle ABD?\",\"answer\":\"When one of the two split angles is given (either angle ABD or angle DBC), use the diagram’s relationship to determine the other angle’s measure in degrees.\"},{\"question\":\"Why are multiple problems shown with different angle measures?\",\"answer\":\"Each problem uses a different given measure for the split angles, so students practice the same method of splitting an angle and finding the missing measure across varied cases.\"}]","Adding a Ray and Calculating Angle - Answer Key | PDF",1790773335]