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°+
°=
°
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1 answer

The equation that will solve for x is:

112° + 2x + 8° = 180°

Simplifying this equation gives:

2x + 120° = 180°

Subtracting 120° from both sides:

2x = 60°

Dividing by 2:

x = 30°