Question

Use the figure to determine if lines u and v are parallel.

If mZA = 10x + 5 and mZB = 75, determine the
value of x that supports
u || v.

Answer 1

To determine if lines u and v are parallel, we need to check if angles A and B are alternate interior angles or corresponding angles. If they are, then lines u and v are parallel.

Since angle A and angle B are corresponding angles (they are on the same side of the transversal and in corresponding positions), we can set their measures equal to each other:

mZA = mZB

10x + 5 = 75

Now we can solve for x:

10x = 70

x = 7

Therefore, the value of x that supports u || v is x = 7.