Question

in the picture, line a is parallel to line b. (mangle4 = 9x - 5) and (mangle5 = 4x + 16). what kind of angle pair is (angle4) & (angle5)? what is the equation you can use to solve for x? equation:

Explanation:

Step1: Identify angle - pair type

When two parallel lines are cut by a transversal, $\angle4$ and $\angle5$ are alternate interior angles.

Step2: Set up the equation

Since alternate interior angles are congruent when the lines are parallel, we set $m\angle4 = m\angle5$. So the equation is $9x - 5=4x + 16$.

Answer:

What kind of angle pair is $\angle4$ & $\angle5$? Alternate interior angles
Equation: $9x - 5 = 4x+16$