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If an Angle Differs from Its Complement by 10°, Find the Angle - Mathematics

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If an angle differs from its complement by 10°, find the angle .

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Solution

The measured angle will be ‘x’ say

Given that,

The angles measured will be differed by 10°

x° - (90 - x)° = 10°

⇒ x - 90 + x = 10

⇒ 2x = 100

⇒ x = 50°

∴ The measure of the angle will be = 50°

Concept: Pairs of Angles
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APPEARS IN

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

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