Pre-Calculus Homework Solutions 56

Pre-Calculus Homework Solutions 56 - 35. 39. Given: Prove:...

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35. Extend the ray that forms the 157° angle in the opposite direction so that the line crosses the left line of the pair of parallel lines. Then m / 4 5 90. m / 5 1 m / 4 1 m / 2 5 ¬ 180 m / 5 5 ¬ 180 2 m / 4 2 m / 2 m / 5 5 ¬ 180 2 90 2 m / 2 m / 5 5 ¬ 90 2 m / 2 / 2 > ¬ / 3 m / 2 5 ¬ m / 3 m / 3 1 157 5 ¬ 180 m / 3 5 ¬ 23 m / 2 5 ¬ 23 m / 1 1 m / 5 5 ¬ 180 m / 1 1 90 2 m / 2 5 ¬ 180 m / 1 1 90 2 23 5 ¬ 180 m / 1 1 67 5 ¬ 180 m / 1 5 ¬ 113 36. x 5 ¬ 90 3 y 2 11 5 ¬ y 1 19 3 y 5 ¬ y 1 30 2 y 5 ¬ 30 y 5 ¬ 15 3 y 2 11 1 4 z 1 2 1 x 5 ¬ 180 3(15) 2 11 1 4 z 1 2 1 90 5 ¬ 180 4 z 1 126 5 ¬ 180 4 z 5 ¬ 54 z 5 ¬ 13.5 37. 7 y 2 4 1 7 x 1 9 5 ¬ 180 7 y 1 7 x 1 5 5 ¬ 180 7 y 1 7 x 5 ¬ 175 7 y 5 ¬ 175 2 7 x y 5 ¬ } 1 7 } (175 2 7 x ) y 5 ¬ 25 2 x 2 y 1 5 1 11 x 2 1 5 ¬ 180 2(25 2 x ) 1 5 1 11 x 2 1 5 ¬ 180 50 2 2 x 1 5 1 11 x 2 1 5 ¬ 180 54 1 9 x 5 ¬ 180 9 x 5 ¬ 126 x 5 ¬ 14 y 5 ¬ 25 2 x 5 ¬ 25 2 14 or 11 z 1 7 x 1 9 5 ¬ 180 z 1 7(14) 1 9 5 ¬ 180 z 1 107 5 ¬ 180 z 5 ¬ 73 38. The angle with measure 40° is congruent to an angle that forms a linear pair with the angle whose measure is x °. So 40 1 x 5 180.
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