Question

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

Explanation:

Step1: Use alternate interior angles

Since the two lines are parallel, by the alternate interior angles theorem, angle \(b = 34^{\circ}\).

Step2: Use triangle - related angle property

In the triangle, we know that the sum of angles in a triangle is \(180^{\circ}\). Also, the straight - line angle sum is \(180^{\circ}\). So, \(a + b+62^{\circ}=180^{\circ}\) (sum of angles on a straight line). But since \(b = 34^{\circ}\) (alternate interior angles), we can directly say \(a = 34^{\circ}\) (because of the alternate interior angles relationship for the non - \(62^{\circ}\) non - \(b\) angle in the triangle and angle \(a\) considering the parallel lines).

Answer:

$34$