Question

An angle measures 42° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

24° and 66°

Explanation:

Angle 1 = x

Angle 2 = x + 42°

x + x + 42° = 90°

Subtract 42° from both sides and add

2x = 48°

Divide by 2

x = 24°

24° and 66°

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Answer 2

24, 66

Explanation:

Complementary angles add to 90

x is the first angle

x+42 is the second angle

x+x+42 = 90

2x+42 = 90

Subtract 42 from each side

2x+42-42 = 90-42

2x= 48

Divide by 2

2x/2 =48/2

x = 24

The second angle is 24+42 = 66