Question

Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15

Answer 1

Explanation:

∠g and ∠f are the interior angles on the same side of the transversal, therefore they're supplementary.

g + f = 180

4x + 3 + x + 17 = 180

5x + 20 = 180

5x = 180 − 20

5x = 160

x=1605=32

g = x + 17 = 32 + 17 = 49

Since ∠g and ∠e are corresponding angles, they're congruent.

g = e = 49