Question

The larger of the two supplementary angles exceeds the smaller by 1800 . 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° = 81°
Hence, the required angles are 99°and 81°.