49Chapter 238. Given:/ABD>/YXZProve:/CBD>/WXZProof:39. Given:m/RSW5m/TSUProve:m/RST5m/WSUProof:40.m/11m/25¬180281m/25¬180m/25¬15241.Because the lines are perpendicular, the anglesformed are right angles. All right angles arecongruent. Therefore,/1 is congruent to /2.42.m/11m/45¬90;m/11m/21m/31m/45¬180m/11m/11m/41m/45¬1802(m/1)12(m/4)5¬1802(m/11m/4)5¬180m/11m/45¬9043.Two angles that are supplementary to the sameangle are congruent. Answers should include thefollowing.• /1 and /2 are supplementary;/2 and /3 aresupplementary.• /1 and /3 are vertical angles, and aretherefore congruent.• If two angles are complementary to the sameangle, then the angles are congruent.44.B; Let xbe the measure of one angle. Then themeasure of the other angle is 902x.}90x2x} 5¬}41}x5¬4(902x)x5¬36024x5x5¬360x5¬72The other angle has mesure 90272 or 18.
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