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The Measure of an Angle is Twice the Measure of Its Supplementary Angle. Find Its Measure. - Mathematics

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The measure of an angle is twice the measure of its supplementary ang Find its measure.

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Solution

Given that

The angle measure of an angle is twice of the measure of the supplementary angle.

Let the angle measured will be ‘x’ say

∴The supplementary angle of  x is 180 - x as per question

x° = 2 (180 - x

 x° = 2 (180°) - 2x°

⇒ 3x° = 360°

⇒ x° = 120°

∴ The angle measured is 120°.

Concept: Pairs of Angles
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.1 | Q 12 | Page 7

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