#### Question

If the complement of an angle is equal to the supplement of the thrice of it. Find the measure of the angle.

#### Solution

The angle measured will be ' *x *' say.

Its complementary angle is (90° - *x*°) and

Its supplementary angle is (180° - 3*x*°)

Given that,

Supplementary of thrice of the angle = (180° - 3*x*°)

According to the given information

(90 - *x*)° = (180 - 3*x*)°

⇒ 3*x*° - *x*° = 180° - 90°

⇒ 2*x*° = 90°

*⇒ x *= 45°

The angle measured is 45°

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Solution 9. If the Complement of an Angle is Equal to the Supplement of the Thrice of It. Find the Measure of the Angle. Concept: Pairs of Angles.