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Solution for 9. If the Complement of an Angle is Equal to the Supplement of the Thrice of It. Find the Measure of the Angle. - CBSE Class 9 - Mathematics

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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° - 3x°)

Given that,

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

According to the given information

(90 - x)° = (180 - 3x

⇒ 3x° - x° = 180° - 90°

⇒ 2x° = 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.
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