Question

1. find the value of x for which line a is parallel to line b.

Explanation:

Step1: Recall angle - relationship for parallel lines

When line a is parallel to line b, the alternate - interior angles are equal. The angle formed by the transversal with line b is the sum of the two given non - x angles.

Step2: Calculate the value of x

The angle corresponding to x (alternate - interior angle) is the difference between the angle formed by the transversal with line b and the 56° angle. The angle formed by the transversal with line b is 56° + 28° = 84°. Since alternate - interior angles are equal for parallel lines, x=28°.

Answer:

28°