Question

if the suplement of an angle is two third of itself.Determine the anle and its suplement

Answer 1

Let the angle be x
another angle=2/3x
x+2x/3=180
5x/3=180
x=108
Another angle=72 So the angles are 108° and 72°

Answer 2

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.

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