# Find the measure of an angle, if seven times its complement is 10° less than three times its supplement.

25°

Let the measure of an angle = X

Complement of X = 90° – X

Supplement of X = 180° – X

According to question,

7(90° – X) = 3(180° – X) - 10°

630° – 7X = 540° – 3X - 10°

– 7X + 3X = 540° – 10° – 630°

- 4X = 100°

X = 25°

Therefore measure of an angle = 25°

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