Question

If the supplement of an angle is (5/2) of its complement, then find the angle.

Answer 1

Let the angle be x

According to the question

Let the supplement angle be 180 - x

And complement angle be 90 - x

5 / 2 ( 90 - x ) = 180 - x

225 - 5x / 2 = 180 - x

225 - 180 = - x + 5x / 2

45 = -2x + 5x / 2

45 = 3x / 2

On Cross mutiplying we get

45 × 2 = 3x

3x = 90

x = 90 / 3

x = 30

So the angle is 30 degree.

Hope it helps you :-)

Answer 2

Let the measure of angle be x°

180-x=5/2(90-x)

or, 360-2x=450-5x

or, 3x=90

or, X=30°

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