If the supplement of an angle is 3 times its complement, find its angle?

Question:

If the supplement of an angle is 3 times its complement, find its angle?

Solution:

Let the angle in case be 'x'

Given that,

Supplement of an angle = 3 times its complementary angle

Supplementary angle = 180 - x

Complementary angle = 90 - x

Applying given data,

180 - x = 3 (90 - x)

3x - x = 270 - 180

2x = 90

x = 90/2

x = 45

Therefore, the angle in case is 45°

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