Q4 of 23 Page 87

Find the angles in each of the following.

The angle which is four times its supplement.

Let the supplement of an angle be x°


According to the question,


Angle = 4x°


We know that two angles are said to be supplementary if their sum is 180°.


So, 4x° + x° = 180°


⇒ 5x° = 180°


⇒ x° = 36°


∴ Angle = 4x° = 4× 36° = 144°, Compliment = x° = 36°


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