Question

Two angles are complementary. The measure of the larger angle is five times the measure of the smaller angle. What is the measure of the larger angle?

Answer 1

15 degrees, 75 degrees

Explanation:

Call the first angle's measurement m ∠ 1 .

The second angle is 5 times this, or 5 ( m ∠ 1 ) .

Since the two angles are complementary (have a sum of 90 ˚ ), we can relate the two angles him as follows:

m ∠ 1 + 5 ( m ∠ 1 ) = 90

6 ( m ∠ 1 ) = 90

m ∠ 1 = 15

Since m ∠ 2 is 5 times this, m ∠ 2 = 15 × 5 = 75 .

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