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An Angle is Equal to Five Times Its Complement. Determine Its Measure. - Mathematics

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Answer in Brief

An angle is equal to five times its complement. Determine its measure.

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Solution

Let the complement of the required angle measures x°

Therefore, the required angle becomes 5x°

Since, the angles are complementary, thus, their sum must be equal to 90°.

Or we can say that :

`x + 5x = 90°`

`6x =  90°

`x = (90°)/6`

` x  = 15°`

Hence, the required angle becomes: 

5x =5(15°)

= 75°

Concept: Introduction to Lines and Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 11 | Page 50
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