Question

find the measure of angle a.
use alternate interior angles.
a = ?°

Explanation:

Step1: Recall Alternate Interior Angles

Alternate interior angles are equal when two parallel lines are cut by a transversal. Here, the base of the triangle and the top horizontal line are parallel (implied by the arrows), and the left side of the triangle is the transversal.

Step2: Identify Corresponding Angle

The angle of \(62^\circ\) in the triangle and angle \(a\) are alternate interior angles. So, by the alternate interior angles theorem, \(a = 62^\circ\).

Answer:

62