Question

in the picture, line a is parallel to line b.
$m\angle3 = 23x + 15$ and $m\angle5 = 34x - 29$
what kind of angle pair is $\angle3$ & $\angle5$?
what is the equation you can use to solve for x?
equation:

Explanation:

Step1: Identify angle - pair type

Since line $a$ is parallel to line $b$, and $\angle3$ and $\angle5$ are alternate - interior angles. Alternate - interior angles are congruent when two parallel lines are cut by a transversal.

Step2: Set up the equation

Because alternate - interior angles are equal, we set the measures of $\angle3$ and $\angle5$ equal to each other. So the equation is $23x + 15=34x−29$.

Answer:

What kind of angle pair is $\angle3$ & $\angle5$? Alternate - interior angles
Equation: $23x + 15 = 34x−29$