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Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 5(m∠Y) −240°. Find m∠Y.

The value of m∠Y is

1 Answer

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9514 1404 393

Answer:

∠Y = 55°

Explanation:

Complementary angles have a sum of 90°.

∠S + ∠Y = 90°

(5∠Y -240°) +∠Y = 90°

6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms

∠Y = 55° . . . . . . . . . divide by 6

User Darek Deoniziak
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