Question

Line WX is parallel to line YZ. If m ABY = (3x - 5) and mZBU = (2x +45), find the value of x.

A. 8
B. 10
C. 50
D. 40

Answer 1

The value of x is 50.

Step-by-step explanation:

In the given question, line WX is parallel to line YZ. We are given that m ABY = (3x - 5) and mZBU = (2x + 45). Since line WX is parallel to line YZ, the alternate interior angles ABY and ZBU are congruent. Therefore, we can set the two measures equal to each other:

3x - 5 = 2x + 45

Now, we can solve for x:

3x - 2x = 45 + 5

x = 50

Therefore, the value of x is 50.