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Solution for If an Angle is 28° Less than Its Complement, Find Its Measure. - CBSE Class 9 - Mathematics

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Question

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

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°

  Is there an error in this question or solution?
Solution If an Angle is 28° Less than Its Complement, Find Its Measure. Concept: Concept to Lines and Angles.
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