Question

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 5(m∠Y) − 150°. Find m∠Y.

Answer 1

∠s + ∠y are complementary

∴ ∠s + ∠y = 90°

∠s = 4(∠y ) -100

s + y = 90

4y - 100 + y = 90

5y = 90 + 100

5y = 190

y = 38

Ans: y = 38°