If an angle is 28° less than its complement, find its measure? – InterviewSolution

1.

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

Answer»

Let the measure of any angle is ‘ a ‘ degrees.

Thus, its complement will be (90 – a)°

So, the required angle = Complement of a – 28

a = ( 90 – a ) – 28

a = 90 - a - 28

a + a = 90 - 28

2a = 62

a = 31

Hence, the angle measured is 31°.

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