Question

according to the alternate interior angles conjecture, if parallel lines (l_1) and (l_2) are cut by a transversal (t), and (angle4 = 75^{circ}), what is the measure of the alternate interior angle (angle7)?
a. (75^{circ})
b. (70^{circ})
c. (80^{circ})

Explanation:

Step1: Recall angle - property

The alternate interior angles conjecture states that when two parallel lines are cut by a transversal, alternate interior angles are congruent.

Step2: Identify congruent angles

Since ∠4 and ∠7 are alternate interior angles and the lines are parallel, ∠4=∠7.

Answer:

A. 75°