Question

Find the angle which is equal to complement and equal to its supplement


Find the angle which is equal to complement and equal to its supplement

Answer 1

Answer:

Angle which is equals to its complement is 45 degree angle .

Angle which is ewuals to its supplement is 90 degree angle

Answer 2

Answer:

Step-by-step explanation:

The angle which is equal to complement

Let the two complementary angles be x and y.

Then , x + y = 90°.

But according to the question, the angle is equal to its complement.

i.e   x = y . Using this in the above equation,

⇒ x + x = 90

⇒    2x  = 90

⇒     x    = 45°

∴ The angle which is equal to complement is 45°

The angle which is equal to supplement

Let the two supplementary angles be x and y.

Then , x + y = 180°.

But according to the question, the angle is equal to its supplement.

i.e   x = y . Using this in the above equation,

⇒ x + x = 180

⇒    2x  = 180

⇒     x    = 90°

∴ The angle which is equal to supplement is 90°