Question

If the supplement of an angle is two third of itself. Determine the angle and it's supplement

Answer 1

Let the angle be x.

Its supplement = 180 - x.

                A.T.Q.

180 - x = 2/3 x.

=> 3(180- x) = 2x.

=> 540 -3x = 2x.

=> 540 = 5x.

=> x = 540 / 5.

=> x = 108.

Now, the angle's supplement = 180 - x = 180 - 108 = 72

Hence, the angle is 108 and its supplement is 72.

Answer 2

Answer:

Step-by-step explanation:

Let angle=x

Its supplement angle=180-x

Supplement angle=2/3(angle)

180-x=2/3x

540-3x=2x

540=3x+2x

540=5x

540/5=x

Angle=x=108°

Supplement angle=180-108=72°

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