Two angles are complementary. The measure of the larger angle is 30 more than the measure of the smaller. Find the degree measure of each angle.

Question

Natalia Wood

Mathematics

3 November, 08:31

Two angles are complementary. The measure of the larger angle is 30 more than the measure of the smaller. Find the degree measure of each angle.

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Answers (1)

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Pretty Lady · Answer 1

30 and 60

Step-by-step explanation:

Complimentary angles add to 90 degrees. One angle is 30 more than the other. This is 30+x. So the other is x. Together they add to 90.

30+x+x=90

30+2x=90

2x=60

x=30

So the smaller angle is 30. The larger is x+30 is 30+30 = 60.