Two angles are complementary. their difference is 22 degrees°. find the angles.

Angles  56 and 34.

Step-by-step explanation:

Given  : Two angles are complementary. their difference is 22 degrees°.

To find :  find the angles.

Solution :

We have given Two angles are complementary. their difference is 22 degrees°

Complementary angles : sum of two angles are 90 degree.

Let the one angle =  x

Complementary of x =  90 -x.

According to question :

Difference of their angle  is 22 degree.

x - ( 90 -x) = 22.

x - 90 +x = 22.

2x -90 = 22.

On adding both sides by 90

2x = 22+90.

2x = 112.

On dividing both sides by 2

x = 56.

Other angle = 90 -56 = 34

Therefore, angles  56 and 34.