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Three angles are complementary The ratio of their measures is 235 Find the measure of each angle?
Wiki User
∙ 15y ago
Assuming you meant ratio is 2:3:5 then:
A:
Since the angles have this ratio, we can express their measures as 2x, 3x, and 5x for some value x. Since the angles are complimentary, their sum must be 90 degrees (pi/2 radians). This means that:
2x+3x+5x = 90 (pi/2)
10x = 90 (pi/2)
x = 9 (pi/20)
So the angles have measure: 18, 27, 45 degrees or pi/10, 3pi/20, and pi/4 radians
Wiki User
∙ 15y ago
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