For what value of x of line a parallel to line b?

Considering corresponding angles, it is found that for x = 22 the lines are parallel.

When two parallel lines are cut by a transversal, the angles that are in the same position in the parallel lines are called corresponding angles, and they are congruent, that is, they have the same measure.

In this questions, these angles are: (4x + 28)º and 116º.

If the lines are parallel, they are congruent, thus:

Thus, the value is x = 22.

A similar problem is given at link

The answer to your question is: x = 22

Step-by-step explanation:

If line a is parallel to line b, 4x + 28 = 116 (corresponding angles)

                                      4x + 28 = 116

                                      4x = 116 - 28

                                      4x = 88

                                        x = 88/4

                                        x = 22

answer: 5100 just subtract

step-by-step explanation: