Question

8. Find the angle which is equal to it's complement
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Answer 1

Answer:

let the angle = x

it's complement = 90°- x

x= 90°-x

2x= 90°

x= 45°

hence angle is 45°

Answer 2

heya, buddy !!

➲ As we all know that if θ

be an angle then,

Complement of θ will be ( 90° - θ ).

And the supplementary angle will be (180°−θ)

So, we can say that the sum of two complementary angles is equal to 90°.

And the sum of two supplementary angles is equal to 180°

➥Let the angle which had to find be x.

Then its complementary angle would be ( 90° - x )

➥As, given in the question that angle and its complementary angle will be equal. So,

➥x = ( 90° - x ) (i)

On, solving equation 1. We get,

➥2x = 90°

➥x = 45° or x = π /4

∴ Hence the angle which is equal to its complement will be 45°

We know that, Whenever we came up with this type of problem then easiest and efficient way is to

go with the definition of complementary angles or supplementary angles, whichever is required. And after finding angles in degree we can also change that into radian.