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) About Me  (Show Source):
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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°