Question

Find the angle which is equal to its supplement and complement

Answer 1

Hi there!

Angle which is equal to its supplement -
Supplementary angles are a pain of angles which together makes 180°.
The angle which is equal to its supplement
180/2 = 90°
Therefore, 90 is the angle equal to its supplement. (since, 90=90)

Angle which is equal to its complement -
Complementary angles are a pair of angles which together makes 90°.
The angle which is equal to its complement =
90/2 = 45°
Therefore, 45 is the angle equal to its complement . (since, 45=45)

Hope it helps you!!

Answer 2

Hello Its your answer.



Let one angle be x and other be y,


We know that sum of two supplementary angles is 180°.

Hence, x+y=180°
But, both sides are equal. 
Hence, x=y.
Therefore, x+x=180°
2x = 180°

Hence, x = 90°.
So, the angle which is equal to its supplement is 90°.


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Here,

Let one angle be x and other be y.
We know that sum of two complementary angles are 90°.


So, x+y = 90°

But, both angles are equal.

Hence, x=y.

Therefore, x+x = 90°.
2x= 90°
x= 45°

Hence, the angle which is equal to its complement is 45°.


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