Question

Find the value of x (picture provided)

Answer 1

Answer: x= 58 degrees

Explanation:

You know that the angle 2x+15 is corresponding to the angle vertical of 3x-38. After you conclude that you can just solve the equation 2x+15=3x-38 and you will get your answer of x=58.

Answer 2

x = 53

Explanation:

The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.

2x+15 = 3x-38

Subtract 2x from each side

2x-2x+15 = 3x-2x-38

15 = x-38

Add 38 to each side

15+38 = x-38+38

53 = x