Question

19) The supplement of an angle is 24° more than

the angle. What is the measure of the angle?
1) 7.50 2) 66°
3) 78°
4) 33°

Answer 1

9514 1404 393

Answer:

3) 78°

Explanation:

Let x represent the angle. Then 180-x is its supplement, and the difference is ...

(180 -x) -x = 24

90 -x = 12 . . . . . . . divide by 2

x = 90 -12 = 78 . . . . degrees

The measure of the angle is 78°.