Angle Pairs Unit Test
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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°+
°=
°
u sure
I apologize for the typo in the previous response.
The equation that solves for x is:
2x + 8° = 112°
Now, let's solve for x.
Subtract 8° from both sides:
2x = 112° - 8°
2x = 104°
Divide both sides by 2:
x = 104°/2
x = 52°
Therefore, the correct equation that solves for x is:
2x + 8° = 112°.
The given information is: m∠5=112° and m∠8=(2x+8)°.
To solve for x, we need to set up an equation using the given information.
Since ∠5 and ∠8 are corresponding angles (they are on the same side of the transversal line and in corresponding positions), we can set up the following equation:
m∠5 = m∠8 (measure of ∠5 is equal to measure of ∠8)
112° = 2x + 8°
Now, we can solve for x.
112° - 8° = 2x
104° = 2x
Divide both sides by 2:
52° = x
Therefore, the equation that solves for x is:
x° + 52° = °