Question

The difference in the measures of two complementary angles is 42 . Find the measures of the angles.

Answer 1

Answer:

The angles are 24° and 66°.

Step-by-step explanation:

Let two angles be x and y.

For two complementary angles,

x+y = 90 ...(1)

ATQ,

x-y = 42 ...(2)

We need to find the measures of the angles.

Add equation (1) and (2).

x+y+x-y = 90+42

2x = 132

x = 66

Put the value of x in equation (1)

66+y = 90

y = 90-66

y = 24

So, the angles are 24° and 66°.