Q4 of 23 Page 87

Find the angles in each of the following.

The angle which is two times its complement.

Let the complement of an angle be x°


According to the question,


Angle = 2x°


We know that two angles are said to be complementary if their sum is 90°.


So, 2x° + x° = 90°


⇒ 3x° = 90°


⇒ x° = 30°


∴ Angle = 2x° = 2× 30° = 60°, Compliment = x° = 30°


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2

Find the supplement of each of the following angles.

i. 58° ii. 148°


iii. 120° iv. 40°


v. 100°

 3

Find the value of x in the following figures.

i.


ii.

4

Find the angles in each of the following.

The angle which is four times its supplement.

 4

Find the angles in each of the following.

The angles whose supplement is four times its complement.