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?

Respuesta :

Answer:

15 degrees, 75 degrees

Step-by-step 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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