Question

The larger of the two supplementary angles exceeds the smaller by 180°. Find them.

Answer 1

Let x and y be the supplementary angles, where x > y.

As per the given condition

x + y = 180°   ...(i)

And

x – y = 18°   ...(ii)

Adding (i) and (ii), we get

2x = 198°

⇒ x = 99°

Now, substituting x = 99° in (ii), we have

99° – y = 18° 

⇒ x = 99° – 18°

⇒ x = 81°

Hence, the required angles are 99° and 81°.