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An angle measures 74 more than the measure of its complementary angle. what is the measure of each angle?

1 Answer

4 votes

Answer:

8, 82

Explanation:

Let x = angle measure

y = complement

y = x+74

Complements add to 90

x+y = 90

Substitute y = x+74 into the equation

x+ x+74 = 90

Combine like terms

2x+74 = 90

Subtract 74 from each side

2x+74-74 = 90-74

2x = 16

Divide by 2

2x/2 = 16/2

x=8

The first angle is 8

8+74 = 82

The other angle is 82

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