Question

40) If an angle measures 10° more
than its complement then the
measure of the angle is - *​

Answer 1

Step-by-step explanation:

The complement of an angle and the angle add together to get 90 degrees.

If the angle is represented by x then the complement will be x - 10 because the complement is 10 degrees less than x.

The two angles add to make 90 degrees so

x+%2B+%28x-10%29+=+90

2x+%2B+10+=+90

2x+=+100

so x = 50 degrees

The complement will be 10 degrees less which is 40 degrees