Question

Find the angle which is equal to its
(i)Supplement
(ii)Complement

Answer 1

(i) Supplement
Let the no. be x
x+x=180
2x=180
x=180/2
x=90°
(ii) Complement
Let the no. be x
x+x=90
2x=90
x=90/2
x=45°

HOPE IT HELPS...!!
@Mansi

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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