Question

The difference in the measure of two complementary angle is 22 find angles​

Answer 1

Answer:

Two angles are said to be the complement of each other if the sum of the two angles is 90°. => x + y = 90°. ... The difference of the two angles is 22°, Hence the equation will be, => x - y = 22°

Step-by-step explanation:

Answer 2

Step-by-step explanation:

complementary angles are those whose sum is 90°.

Now,ll let x and y be two complementary angles:

Then, x+y=90 -------------(1)

Also, x-y=22----------------(2) ( given in question)

adding (1) and (2) ,

x + y + x - y = 90 + 22

so, 2x = 112

x = 56

putting x = 56 in equation (1).

56 + y =90

y=90-56

y=34

so, correct answer is

x = 56°

y = 34°

Hope this will help you.