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Question

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

112° + 2x + 8° = 180°

Simplify: 2x + 120° = 180°

Subtract 120° from both sides: 2x = 60°

Divide by 2: x = 30°

Therefore, the equation to solve for x is:

x + 120° = 180°