Question

What is the value of x if line a is parallel to line b and is cut by a transversal?

x = 35

x= 19

x can not be determined from the information given

x = 27.25

Answer 1

x=35

Explanation:

These are alternate interior angles. Since a and b are parallel, they are equal

5x - 54 = 3x+16

Subtract 3x from each side

5x-3x -54 = 3x -3x +16

2x -54 = 16

Add 54 to each side

2x-54+54 = 16+54

2x = 70

Divide each side by 2

2x/2 = 70/2

x = 35