Question

The image below shows two parallel lines cut by a transversal. What is the value of x?

Answer 1

x will have a value of 20, which gives the angles a value of 90 degrees each.

Since they are alternating interior angles of a parallel lines, cut by a transversal, they are congruent. Therefore, you can set them equal to each other and solve for x.

5x - 10 = 4x + 10

x - 10 = 10

x = 20

Now that we have this, we can plug into either to find the angle measurements.

4x + 10

4(20) + 10

80 + 10

90