Unit_3_Answer_Key_final - Answer Key \u2014 Unit 3 1 They are complementary and add up to 90\u25e6 2 3 \u2220a = 59\u25e6 \u2220b = 82\u25e6 4 x = 64\u25e6 5 x = 56\u25e6 6

Unit_3_Answer_Key_final - Answer Key u2014 Unit 3 1...

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Answer Key — Unit 3 1. They are complementary and add up to 90 . 2. 3. a = 59 , b = 82 4. x = 64 5. x = 56 6. x = 48 7. x = 55 8. No, this would only work if the angle is equal to 0. If x = 1, then the complement is 89 and the supplement would be 179 . Half the measure of the supplement would be= 1 2 (179) = 89 . 5, which is greater than the complement. 9. In the following picture, the consecutive angles formed by two straight lines are all supplementary. This means that m A + m B = 180, and m B + m C = 180. Since A and C share angle B, m A should equal m B . The same would be the case with angles A, D, and C, or any other combination of 3 consecutive angles. 10. m AOC = 70 11. a) m 1 = 33 b) m 1 = 70 c) x = 22 , y = 72 5
12. a) x = 50 , y = 20 b) x = 30 , y = 70 13. m TAC = m ACB + m ABC ; pictures will vary. 14. a) 70 , 49 , 61 b) 80 , 70 , 150 15. a) 56 , 68 b) 62 , 62 16. a) m CBD = 36 , m DBA = 36 , m BCD = 72 , m BDC = 72 , m BDA = 108 , m BAC = 36 b) CD = 1 - x 17. m C = 36 18. x = 180 7 19. m Q = 54 , m R = 36 20. AB is the largest side since C is the largest angle. The longest side is always opposite the largest angle. 21. m CFD = 63 22. Triangle BDE is isosceles because the two base angles (

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