SOLUTION: Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 110°. Find m∠Y.

Algebra ->  Angles -> SOLUTION: Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 110°. Find m∠Y.      Log On


   

Question 1078691: Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 110°. Find m∠Y.
Answer by ikleyn(52869) About Me  (Show Source):
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Complementary angles are those that make 90 degrees in the sum.

90-Y = 3Y - 110. ---> 90 + 110 = 3y + y ---> 200 = 4Y ---> Y = 200%2F4 = 50.

Answer. Y = 50 degrees, S = 90-50 = 40 degrees.