Use the diagram to find the value of a. The parallel lines are marked.
452
72
62
62

62°

Explanation:

The two parallel lines (the parallel lines are marked using the arrow) are crossed by a transversal (the straight line which cuts across the two parallel lines). When two parallel lines are cut by a transversal, angles created in matching corners are corresponding. This led to the creation of the corresponding angles at the point marked 62° and point a.

According to parallel lines theorem, corresponding angles are equal, hence, since we have been given the value of one of the angles to be 62°, the corresponding angle marked a will also be 62°

Hence, a = 62° (Corresponding angles)