SOLUTION: Find the measure of the angle. Two complementary angles have measures in the ratio 2:3

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Question 836679: Find the measure of the angle. Two complementary angles have measures in the ratio 2:3
Answer by jim_thompson5910(35256) About Me  (Show Source):
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The two angles are in ratio of 2:3, so that means the two angles are 2x and 3x (where x is some unknown number for now). They must add to 90 (since they are the non-right angles in a right triangle...ie they are complementary)

2x + 3x = 90

5x = 90

x = 90/5

x = 18

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2x = 2*18 = 36

3x = 3*18 = 54

The smallest angle is 36 degrees

The larger angle is 54 degrees

The largest angle is 90 degrees