Question

If the supplementary of an angle is two third of itself determine the angle and its supplement

Answer 1

Step-by-step explanation:

Supplementary angle = 180 degree

= 2/3 X 180

Hence angle = 120 degree

And their supplement is = 180 - 120

=. 60 degree

ANSWER

Answer 2

Answer:

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.