Q. 63.5( 4 Votes )

# Find the measure of an angle which is

(i) equal to its complement,

(ii) equal to its supplement.

Answer :

(i) 45°

Let, measure of an angle = X

Complement of X = 90° – X

Hence,

⇒ X = 90° – X

⇒ 2X = 90°

⇒ X = 45°

Therefore measure of an angle = 45°

(ii) 90°

Let, measure of an angle = X

Supplement of X = 180° – X

Hence,

⇒ X = 180° – X

⇒ 2X = 180°

⇒ X = 90°

Therefore measure of an angle = 90°

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