Question

what is the value of z?

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The sum of \(30^{\circ}\) and \(42^{\circ}\) is equal to \(z\) because of the vertical - angle relationship.

Step2: Calculate the value of \(z\)

\(z=30^{\circ}+42^{\circ}\)
\(z = 72^{\circ}\)

Answer:

\(72\)