Question

according to the alternate interior angles conjecture, if parallel lines (l_1) and (l_2) are cut by a transversal (t), and (angle3 = 90^{circ}), what is the measure of the alternate interior angle (angle6)?
a. (95^{circ})
b. (80^{circ})
c. (90^{circ})

Explanation:

Step1: Recall alternate - interior angles property

When parallel lines are cut by a transversal, alternate - interior angles are congruent.

Step2: Identify given and required angles

Given $\angle3 = 90^{\circ}$, and $\angle6$ is the alternate - interior angle to $\angle3$.

Answer:

C. $90^{\circ}$