# SOLUTION: Angle A has the property that twenty-six times its compliment is equal to eleven times its supplement. Find the measure of angle A.

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Question 567337: Angle A has the property that twenty-six times its compliment is equal to eleven times its supplement. Find the measure of angle A.Answer by htmentor(789)   (Show Source): You can put this solution on YOUR website!The complement of angle A = 90 - A The supplement of angle A = 180 - A Given: 26 times the complement = 11 times the supplement: 26(90-A) = 11(180-A) (26/11)*90 - (26/11)A = 180 - A (26/11 - 1)A = 90(26/11 - 2) 15/11A = (4/11)90 A = (4/15)90 = 4*6 = 24