# Find the measure of an angle which is(i) equal to its complement,(ii) equal to its supplement.

(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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