SOLUTION: Three angles are complementary. The ratio of their measures is 2:3:5. Find the measure of each angle.

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Question 822111: Three angles are complementary. The ratio of their measures is 2:3:5. Find the measure of each angle.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Three angles are complementary(their sum is 90°) The ratio of their measures is 2:3:5.
Let 2x, 3x, 5x represent the measures of the angles
Question states***
2x + 3x + 5x = 90°
10x = 90°
x = 9°
the measure of each angle: 18°, 27°, 45°
CHECKING our answer***
18° +27° + 45° = 90°

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