Question

in the picture, line a is parallel to line b.
$m\angle3 = 12x - 23$ and $m\angle7 = 7x + 7$
what kind of angle pair is $\angle3$ & $\angle7$?
what is the equation you can set up to solve for x?
equation:

Explanation:

Step1: Identify angle - pair type

When two parallel lines are cut by a transversal, $\angle3$ and $\angle7$ are corresponding angles.

Step2: Set up the equation

Since corresponding angles are congruent when two parallel lines are cut by a transversal, we set $m\angle3 = m\angle7$. So the equation is $12x - 23=7x + 7$.

Answer:

What kind of angle pair is $\angle3$ and $\angle7$? Corresponding angles
Equation: $12x - 23 = 7x+7$