SOLUTION: Two angles are complementary and their sizes are in the ratio 5 : 7 What is the size of the smaller of the two angles?

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Question 718701: Two angles are complementary and their sizes are in the ratio 5 : 7

What is the size of the smaller of the two angles?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
5x + 7x = 90

12x = 90

x = 90/12

x = 15/2

x = 7.5

5x = 5*7.5 = 37.5

7x = 7*7.5 = 52.5

So the two angles are 37.5 degrees and 52.5 degrees

Therefore, the smaller angle is 37.5 degrees

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