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If an Angle is 30° More than One Half of Its Complement, Find the Measure of the Angle. - Mathematics

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If an angle is 30° more than one half of its complement, find the measure of the angle.

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Solution

Angle measured will be ‘x’ say.

∴ its complement will be (90 - x

It is given that

Angle = 30° +`1/2`    Complement

⇒ x° = 30° +` 1/2` (90 - x)

⇒  `3x/2` x = 30° + 45° 

⇒ 3x = 150°

⇒ x - `150/3`

⇒ x = 50°

∴ Angle is 50°

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 4 | Page 7
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