If the supplement of an angle is two third of itself. Determine the angle and its supplement?
Question:

If the supplement of an angle is two third of itself. Determine the angle and its supplement?

Solution:

Supplementary of an angle = 2/3 angle

Let the angle in case be ‘x’,

Supplementary of angle x will be (180 – x)

It is given that

180 – x = 2/3 x

(180 – x) 3 = 2x

540 – 3x = 2x

5x = 540

x = 540/5

x = 108

Hence, supplementary angle = 180 – 108 = 72

Therefore, angles in case are 108° and supplementary angle is 72°

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