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Angles of measures (a + 15)° and (2a)° are complementary. What is the measure of each angle? -

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Question

Angles of measures (a + 15)° and (2a)° are complementary. What is the measure of each angle?

Sum

Solution

a + 15 + 2a = 90
3a + 15 = 90
3a = 75
a = 25
∴ a + 15 = 25 + 15 = 40°
and 2a = 2 × 25 = 50°.

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