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Question
The larger of the two supplementary angles exceeds the smaller by 1800 . Find them.
Solution
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°.
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