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?

Question

asked Nov 23, 2020 108k views

1 Answer

Fernando Cervantes · Answer 1 · 2020-11-28T22:12:48+0000

Answer:

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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