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The complement of an angle exceeds one-fifth of the angle by 6°.
Find the angle.

Class 7Pairs of AnglesLines and Angles

A140
B70
C63
D77

Step-by-Step Solution

Let the angle be

x

. Complement

= 90 - x

. Given

90 - x = \frac{x}{5} + 6

, so

84 = x + \frac{x}{5} = \frac{6 x}{5}

, giving

x = 84 * \frac{5}{6} = 70

deg.

Answer: B) 70

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