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Solution for If an Angle is 30° More than One Half of Its Complement, Find the Measure of the Angle. - CBSE Class 9 - Mathematics

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Question

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

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°

  Is there an error in this question or solution?
Solution If an Angle is 30° More than One Half of Its Complement, Find the Measure of the Angle. Concept: Concept to Lines and Angles.
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