Q15 of 153 Page 113

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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