Question

two parallel lines are cut by a transversal. angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. what is the value of x?
1/2
2
8
12

Explanation:

Step1: Note angle - relationship

The angle adjacent to the alternate exterior angle with angle 1 and angle 1 are supplementary. So, $(4x + 28)+(14x + 8)=180$.

Step2: Combine like - terms

$4x+14x+28 + 8=180$, which simplifies to $18x+36 = 180$.

Step3: Isolate the variable

$18x=180 - 36=144$, then $x=\frac{144}{18}=8$.

Answer:

8