Pre-Calculus Homework Solutions 47

Pre-Calculus Homework Solutions 47 - 38 Given Prove ABD CBD...

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49 Chapter 2 38. Given: / ABD > / YXZ Prove: / CBD > / WXZ Proof: 39. Given: m / RSW 5 m / TSU Prove: m / RST 5 m / WSU Proof: 40. m / 1 1 m / 2 5 ¬ 180 28 1 m / 2 5 ¬ 180 m / 2 5 ¬ 152 41. Because the lines are perpendicular, the angles formed are right angles. All right angles are congruent. Therefore, / 1 is congruent to / 2. 42. m / 1 1 m / 4 5 ¬ 90; m / 1 1 m / 2 1 m / 3 1 m / 4 5 ¬ 180 m / 1 1 m / 1 1 m / 4 1 m / 4 5 ¬ 180 2( m / 1) 1 2( m / 4) 5 ¬ 180 2( m / 1 1 m / 4) 5 ¬ 180 m / 1 1 m / 4 5 ¬ 90 43. Two angles that are supplementary to the same angle are congruent. Answers should include the following. / 1 and / 2 are supplementary; / 2 and / 3 are supplementary. / 1 and / 3 are vertical angles, and are therefore congruent. • If two angles are complementary to the same angle, then the angles are congruent. 44. B; Let x be the measure of one angle. Then the measure of the other angle is 90 2 x . } 90 x 2 x } 5 ¬ } 4 1 } x 5 ¬ 4(90 2 x ) x 5 ¬ 360 2 4 x 5 x 5 ¬ 360 x 5 ¬ 72 The other angle has mesure 90 2 72 or 18.
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