Question

the lines p and q intersect at point o. what is the value of x? enter your answer in the box. x =

Explanation:

Step1: Identify vertical - angles

Vertical - angles are equal. The angles \((2x + 13)^{\circ}\) and \((3x-3)^{\circ}\) are vertical - angles. So, \(2x + 13=3x - 3\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(2x+13-2x=3x - 3-2x\), which simplifies to \(13=x - 3\).
Then add 3 to both sides: \(13 + 3=x-3 + 3\).

Answer:

\(x = 16\)