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1. The larger of two supplementary angles exceeds thrice the smaller by 20 degrees. Find them. |
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Answer» smaller angle be x° . As both the ANGLES are supplementary then Larger angle will be ( 180 - x )° . {SUM of supplementary angles is 180° }GIVEN, Larger angle = exceeds THRICE the smaller by 20°( 180 - x ) = 3(x) + 20( 180 - x ) = ( 3x + 20 ) 3x + 20 + x = 1804x + 20 = 1804x = 180 - 204x = 160x = 160/4x = 40Smaller angle = x = 40°Larger angle = 180 - x = 180 - 40 = 140° |
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