Question

The bisectors of ∠EGF and ∠EGF meet at L. If ∠EFG = 40, find ∠FIG.

a) 20°

b) 40°

c) 60°

d) 80°

Answer 1

The measure of ∠FIG is 140 degrees.

Step-by-step explanation:

The bisectors of ∠EGF and ∠EGF meet at L. Since the bisectors of an angle divide the angle into two equal angles, we know that ∠EGL = ∠FGL = 20 degrees. Now, we can find the measure of ∠FIG by subtracting the sum of the measures of ∠EGL and ∠FGL from 180 degrees since they form a straight line. Therefore, ∠FIG = 180 - 20 - 20 = 140 degrees.