Question

what is the value of z?

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the given angle be \(64^{\circ}\) and the unknown angle be \(z\). So, \(z + 64^{\circ}=180^{\circ}\).

Step2: Solve for \(z\)

Subtract \(64^{\circ}\) from both sides of the equation: \(z=180^{\circ}- 64^{\circ}\).

Answer:

\(z = 116^{\circ}\)