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Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 135°. Find m∠Y.

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Answer:The value of angle y is 40°.

Complementary angles are the angles that have their sum equal to 90°.

Therefore, based on the information given, the value of angle y will be calculated thus:

x + y = 90°.

4y - 110° + y = 90°

Collect like terms

4y + y = 90° + 110°

5y = 200°

y = 200/5

y = 40°

The value of angle y is 40°.

Explanation:

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