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statement must be true.\u003Cbr>1) In the triangle shown, m∠2 = m∠3 and m∠1 = 70° .\u003Cbr>\u003Cbr>3\u003Cbr>1 2\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 70°\u003Cbr>C. m∠1 + m∠3 = 125°\u003Cbr>D. m∠1 + m∠3 = 180°\u003Cbr>3) In the triangle shown, m∠1 = m∠2 and m∠3 = 30° .\u003Cbr>\u003Cbr>3\u003Cbr>12\u003Cbr>A. m∠2 + m∠3 = 180°\u003Cbr>B. m∠2 + m∠3 = 30°\u003Cbr>C. m∠2 + m∠3 = 60°\u003Cbr>D. m∠2 + m∠3 = 105°\u003Cbr>5) In the triangle shown, m∠1 = m∠3 and m∠2 = 70° .\u003Cbr>\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 70°\u003Cbr>C. m∠1 + m∠3 = 110°\u003Cbr>D. m∠1 + m∠3 = 180° | 2)\u003Cbr>4)\u003Cbr>6) | In the triangle shown, m∠2 = m∠3 and m∠3 = 40° .\u003Cbr>\u003Cbr>A. m∠1 + m∠2 = 140°\u003Cbr>B. m∠1 + m∠2 = 40°\u003Cbr>C. m∠1 + m∠2 = 180°\u003Cbr>D. m∠1 + m∠2 = 80°\u003Cbr>In the triangle shown, m∠1 = m∠3 and m∠3 = 40° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 140°\u003Cbr>B. m∠2 + m∠3 = 40°\u003Cbr>C. m∠2 + m∠3 = 80°\u003Cbr>D. m∠2 + m∠3 = 180°\u003Cbr>In the triangle shown, m∠1 = m∠3 and m∠3 = 70° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 180°\u003Cbr>B. m∠2 + m∠3 = 70°\u003Cbr>C. m∠2 + m∠3 = 140°\u003Cbr>D. m∠2 + m∠3 = 110° |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \nUsing the Angle Sum of a Triangle  \nName: Answer Key  \n\n| Determine which statement must be true.\u003Cbr>1) In the triangle shown, m∠2 = m∠3 and m∠1 = 70° .\u003Cbr>\u003Cbr>3\u003Cbr>1 2\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 70°\u003Cbr>C. m∠1 + m∠3 = 125°\u003Cbr>D. m∠1 + m∠3 = 180°\u003Cbr>3) In the triangle shown, m∠1 = m∠2 and m∠3 = 30° .\u003Cbr>\u003Cbr>3\u003Cbr>12\u003Cbr>A. m∠2 + m∠3 = 180°\u003Cbr>B. m∠2 + m∠3 = 30°\u003Cbr>C. m∠2 + m∠3 = 60°\u003Cbr>D. m∠2 + m∠3 = 105°\u003Cbr>5) In the triangle shown, m∠1 = m∠3 and m∠2 = 70° .\u003Cbr>\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 70°\u003Cbr>C. m∠1 + m∠3 = 110°\u003Cbr>D. m∠1 + m∠3 = 180° | 2)\u003Cbr>4)\u003Cbr>6) | In the triangle shown, m∠2 = m∠3 and m∠3 = 40° .\u003Cbr>\u003Cbr>A. m∠1 + m∠2 = 140°\u003Cbr>B. m∠1 + m∠2 = 40°\u003Cbr>C. m∠1 + m∠2 = 180°\u003Cbr>D. m∠1 + m∠2 = 80°\u003Cbr>In the triangle shown, m∠1 = m∠3 and m∠3 = 40° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 140°\u003Cbr>B. m∠2 + m∠3 = 40°\u003Cbr>C. m∠2 + m∠3 = 80°\u003Cbr>D. m∠2 + m∠3 = 180°\u003Cbr>In the triangle shown, m∠1 = m∠3 and m∠3 = 70° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 180°\u003Cbr>B. m∠2 + m∠3 = 70°\u003Cbr>C. m∠2 + m∠3 = 140°\u003Cbr>D. m∠2 + m∠3 = 110° |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  C \u003Cbr>2.  A \u003Cbr>3.  D \u003Cbr>4.  A \u003Cbr>5.  C \u003Cbr>6.  D  |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \nUsing the Angle Sum of a Triangle  \nName:  \n\n| Determine which statement must be true.\u003Cbr>1) In the triangle shown, m∠2 = m∠3 and m∠1 = 70° .\u003Cbr>\u003Cbr>3\u003Cbr>1 2\u003Cbr>A. m∠1 + m∠3 = 140°\u003Cbr>B. m∠1 + m∠3 = 70°\u003Cbr>C. m∠1 + m∠3 = 125°\u003Cbr>D. m∠1 + m∠3 = 180°\u003Cbr>3) In the triangle shown, m∠1 = m∠2 and m∠3 = 30° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 180°\u003Cbr>B. m∠2 + m∠3 = 30°\u003Cbr>C. m∠2 + m∠3 = 60°\u003Cbr>D. m∠2 + m∠3 = 105° | 2)\u003Cbr>4) | In the triangle shown, m∠2 = m∠3 and m∠3 = 40° .\u003Cbr>\u003Cbr>A. m∠1 + m∠2 = 140°\u003Cbr>B. m∠1 + m∠2 = 40°\u003Cbr>C. m∠1 + m∠2 = 180°\u003Cbr>D. m∠1 + m∠2 = 80°\u003Cbr>In the triangle shown, m∠1 = m∠3 and m∠3 = 40° .\u003Cbr>\u003Cbr>A. m∠2 + m∠3 = 140°\u003Cbr>B. m∠2 + m∠3 = 40°\u003Cbr>C. m∠2 + m∠3 = 80°\u003Cbr>D. m∠2 + m∠3 = 180° | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| 1-4 |  |  | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3","cbCaijR9yLfoi1Gl","https://ap.wps.com/l/cbCaijR9yLfoi1Gl","pdf",45935,"English","# Determine which statement must be true\n## Angle relationships and angle-sum equations\n## Answer key","[{\"question\":\"What method do the questions use to decide which statement must be true?\",\"answer\":\"They use the angle sum property of a triangle (the interior angles add to 180°) to check which proposed angle-sum equation is correct.\"},{\"question\":\"In a problem like “m∠2 = m∠3 and m∠1 = 70°,” how are the other angles found?\",\"answer\":\"Since m∠2 and m∠3 are equal, their sum is 180° − m∠1, so each of m∠2 and m∠3 is half of that remaining amount. Then the answer choice that matches the resulting sums is selected.\"},{\"question\":\"Where can the correct multiple-choice answers be found?\",\"answer\":\"The document includes an “Answer Key” section that lists the correct choice for each numbered item.\"}]","Using the Angle Sum of a Triangle - Answer Key | PDF",1790771345]