Question

The difference between the measures of two complementary angles is 14. Find the measure of both angles.

Answer 1

let the angles be x and 90-x(since we are given that the angles are complementary so their sum will be 90)

now acc to question

x-(90-x)= 14

2x= 104
x= 52

and the other angle will be 90-x= 90-52 = 38

Answer 2

The value of the angles are 52° and 38°.

Complementary angles are the angles that have their sum equal to 90°.

Therefore, based on the information given, the equation to solve the question will be:

x - (90 - x) = 14

x + x - 90 = 14

2x = 14 + 90.

2x = 104.

x = 104/2

x = 52

Since one of the angle is 52, the other angle will be 90 - 52 = 38

The value of the angles are 52° and 38°.

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