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Pre-Calculus Homework Solutions 89

# Pre-Calculus Homework Solutions 89 - 14 Let X be the...

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14. Let X be the unknown acute angle of the triangle. m X 27 ¬ 90 m X ¬ 63 15. m 1 47 57 ¬ 180 m 1 104 ¬ 180 m 1 ¬ 76 16. m 2 m 1 m 2 76 17. m 3 m 2 55 ¬ 180 m 3 76 55 ¬ 180 m 3 131 ¬ 180 m 3 ¬ 49 18. m 1 69 47 ¬ 180 m 1 116 ¬ 180 m 1 ¬ 64 19. m 1 m 2 63 ¬ 180 64 m 2 63 ¬ 180 m 2 127 ¬ 180 m 2 ¬ 53 20. m 3 m 2 63 53 63 116 21. m 4 m 5 m 3 ¬ 180 2 m 4 116 ¬ 180 2 m 4 ¬ 64 m 4 ¬ 32 22. m 5 m 4 23. m 6 136 ¬ 180 m 5 32 m 6 ¬ 44 24. m 7 47 ¬ 136 m 7 ¬ 89 25. m 1 33 24 ¬ 180 m 1 57 ¬ 180 m 1 ¬ 123 26. m 2 95 ¬ m 1 m 2 95 ¬ 123 m 2 ¬ 28 27. m 3 109 ¬ m 1 m 3 109 ¬ 123 m 3 ¬ 14 28. m 1 126 ¬ 180 29. m 2 73 ¬ 126 m 1 ¬ 54 m 2 ¬ 53 30. m 3 43 ¬ 180 m 3 ¬ 137 31. m 4 34 43 ¬ 180 m 4 77 ¬ 180 m 4 ¬ 103 32. m 1 m DGF ¬ 90 m 1 53 ¬ 90 m 1 ¬ 37 33. m 2 m AGC ¬ 90 m 2 40 ¬ 90 m 2 ¬ 50 34. m 3 m AGC ¬ 90 m 3 40 ¬ 90 m 3 ¬ 50 35. m 4 m 2 ¬ 90 m 4 50 ¬ 90 m 4 ¬ 40 36. m 1 26 101 ¬ 180 m 1 127 ¬ 180 m 1 ¬ 53 37. m 2 26 103 129 38. m 3 101 (180 128) 153 39. Given: FGI IGH GI FH Prove: F H Proof: 40. Given: ABCD is a quadrilateral. Prove: m DAB m B m BCD m D 360 Proof: A B C D 1 2 3 4 GI FH
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