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Find the measure of an angle if six times its complement is 12° less than twice its supplement. |
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Answer» -step explanation:Given: -times its complement is 12° LESS than twice its supplement.To Find : - the measure of an angle SOLUTION: -Let the angle be xComplement = 90 - xSupplement = 180 - X☯ According to the Question : -➽ 6 (90 – x) + 12 = 2 (180 – x)➽ 540 - 6x + 12 = 360 - 2X➽ 552 - 360 = - 2x + 6x➽ 192 = 4x➽ x = 192/4➽ x = 48Hence the measure of an 48° |
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