Question

In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.

Answer 1

102

Explanation:

<QRT and <VTU are alternate exterior angles, so they are congruent.

m<QRT = m<VTU

x + 40 = 2x -22

62 = x

m<QRT = x + 40 = 62 + 40 = 102

m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102