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If an Angle is 28° Less than Its Complement, Find Its Measure. - Mathematics

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If an angle is 28° less than its complement, find its measure.

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Solution

Angle measured will be ‘x’ say

∴ its complement will be (90 - x

It is given that

Angle = Complement -28°

⇒ x = (90 - x)° - 28°

⇒ x° = 90° - 28° - x°

⇒ 2x° = 62°

⇒ x = 31°

∴ Angle measured is 31°

Concept: Introduction to Lines and Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.1 | Q 3 | Page 7
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