Question

one of two complementary angles is seven eighth as large as the other. how many degree are in each angle?​

Answer 1

Answer:

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Step-by-step explanation:

Two Angles are complementary when they add up to 90 degrees

Let x be the larger angle  

x + 7/8x = 90

Combine like terms

15/8x = 90

Multiply 8/15 on both side

15/8x * 8/15 = 90 * 8/15

x = 48

Smaller angle = 7/8 (x) = 7/8 (48) = 42

Larger angle = x = 48

To verify: 42 + 48 = 90