Question

1. The measure of angle GHI is 120°. Angle GHI is cut in half with ray HK, if angle

GHK is 3x + 48 , what is the value of x?

Answer 1

Explanation:

Ray HK is an angle bisector, which means that it cuts the angle exactly in half. So half of GHI is 60. If GHK is 3x + 48, and that is half of angle GHI. then

3x + 48 = 60 and

3x = 12 so

x = 4