Question

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 185°. Find m∠Y.

Answer 1

Explanation:

so S and Y are complementary...that means when added, they equal 90 degrees.

S + Y = 90

S = 4Y - 185

4Y - 185 + Y = 90

5Y - 185 = 90

5Y = 90 + 185

5Y = 275

Y = 275 / 5

Y = 55 <===== angle Y is 55

S + Y = 90

S + 55 = 90

S = 90 - 55

S = 35