Question

solve for x.
(6x + 32)°
(72 - 2x)°
x =

Explanation:

Step1: Identify angle - relationship

Assume lines NO and PQ are parallel. Then, the angles (6x + 32)° and (72 - 2x)° are corresponding angles (or alternate - exterior angles, depending on the parallel - line properties), and they are equal. So we set up the equation 6x+32 = 72 - 2x.

Step2: Solve the equation for x

Add 2x to both sides of the equation:
\[6x + 2x+32=72-2x + 2x\]
\[8x+32 = 72\]
Subtract 32 from both sides:
\[8x+32 - 32=72 - 32\]
\[8x=40\]
Divide both sides by 8:
\[x=\frac{40}{8}\]

Answer:

5