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An Angle is 14° More than Its Complementary Angle. What is Its Measure? - Mathematics

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An angle is 14° more than its complementary angle. What is its measure?

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Solution

Given that,

An angle is 14° more than its complementary angle

The angle measured is ‘x’ say

The complementary angle of ‘x’ is (90 - x)

It is given that

x- (90 - x) = 14

⇒ x - 90 + x = 14

⇒ 2x° = 90° +14°

⇒ x° = `(104°)/2`

⇒ x = 52°.

∴ The angle measured is 52°

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 11 | Page 7

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