Question

in the picture, line a is parallel to line b.
$m\angle7 = 2x + 13$ and $m\angle8 = 5x + 13$
what kind of angle pair is $\angle7$ & $\angle8$?
what is the equation you can use to solve for x?
equation:

Explanation:

Step1: Identify angle - pair relationship

Since line $a$ is parallel to line $b$ and $\angle7$ and $\angle8$ are adjacent angles that form a linear - pair, they are supplementary. The sum of the measures of supplementary angles is $180^{\circ}$.

Step2: Write the equation

We know that $m\angle7 + m\angle8=180^{\circ}$. Given $m\angle7 = 2x + 13$ and $m\angle8 = 5x+13$, the equation is $(2x + 13)+(5x + 13)=180$.

Answer:

What kind of angle pair is $\angle7$ and $\angle8$? Supplementary angles
Equation: $(2x + 13)+(5x + 13)=180$