Question

An angle is ${14}^{\circ }$ more than its complement. Then the measure of the angle is ___.

• A. ${38}^{\circ }$
• B. ${52}^{\circ }$
• C. 40
• D. 50

Answer 1

The correct option is B

${52}^{\circ }$

Let the angle be $x^{\circ }$ and its complement is 90° - x°.

It is given that the angle is 14° more than its complement.

Therefore, x° = 90° - x° + 14°

2x° = 104°

x° = 52°

Verification: Angle = x° = 52°

Complement = 90° - 52 = 38°

Complement + 14° = 38° + 14° = 52°