Question

Use the image to answer the question.

An illustration shows a slanting line intersecting with two lines that appear parallel. The angles that the slanting line forms with the top line are labeled from the top left in a clockwise direction as 1, 2, 4, and 3. The angles that the slanting line forms with the bottom line are labeled from the top left in a clockwise direction as 5, 6, 8, and 7.

m∠5=112°
and m∠8=(2x+8)°
. What equation will solve for x
?

(2 points)
x°+
°=
°

Answer 1

Angle 5 and angle 8 are congruent, so set them equal:

(2x + 8)° = 112°

Solve: 2x + 8 = 112 → 2x = 104 → x = 52.