The lines p and q intersect at point O. What is the value of x? Enter your answer in the box. x = Lines p and q intersect at point O. Acute vertical angles measure two x plus thirteen degrees, and three x minus three degrees.

x = 16

Step-by-step explanation

Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.

Hence 2x+13 = 3x-3

Collect like terms

2x-3x = -3-13

-x = -16

Multiply both sides by -1

-1(-x) = -1(-16)

x = 16

Hence the value of x is 16