Question

the lines a and b intersect at point d. what is the value of z? enter your answer in the box. z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $5z + 8=4z + 20$.

Step2: Solve the equation for z

Subtract $4z$ from both sides: $5z-4z+8 = 4z-4z + 20$, which simplifies to $z+8=20$.
Then subtract 8 from both sides: $z+8 - 8=20 - 8$.

Answer:

$z = 12$