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

If I understand this correcty, the two angles are complementary, which means they equal 90º
so we can sat that x + y = 90, and that x - y = 22, if we add both equations
x+y=90x-y=22 =2x = 112 x = 56now we can substitude x,56 + y = 90-56 to both sides,y = 90 - 56 =y = 34
so both angles are 34º and 56º

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PiaDeveau PiaDeveau · Answer 2 · 2019-10-15T07:11:56+02:00

Answer:

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.