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

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प्रश्न

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

संक्षेप में उत्तर

उत्तर

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°

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Introduction to Lines and Angles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Lines and Angles - Exercise 10.5 [पृष्ठ ५०]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 10 Lines and Angles
Exercise 10.5 | Q 11 | पृष्ठ ५०
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