Question

Suppose you know that ∠s and ∠y are complementary, and that m∠s = 4(m∠y) − 110°. find m∠y. solution

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°