To find the equation that will solve for x, you need to use the fact that angles 5 and 8 are corresponding angles, meaning they are in the same position in relation to the lines they intersect. Corresponding angles are congruent, so you can set up an equation:
m∠5 = m∠8
112° = 2x + 8°
Now, simplify and solve for x:
112° - 8° = 2x
104° = 2x
Divide both sides of the equation by 2:
52° = x
The equation that will solve for x is:
x° + 52° = °
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
1 answer