Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2 (m∠Y) - 45°. Find m∠Y.

Question

Mathematics

Aurora Simpson

28 July, 18:00

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2 (m∠Y) - 45°. Find m∠Y.

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Scarlet · Answer 1

If S and Y are complementary, that means they add to 90.

So S + Y = 90

And S = 2Y - 45

Use substitution to plug 2Y - 45 in for S.

(2Y - 45) + Y = 90

3Y - 45 = 90

3Y = 135

Y = 45

If Y equals 45, then S also equals 45 since S+Y=90.