Question

what is the value of z?

Explanation:

Step1: Identify the relationship

The two angles are complementary (sum to \(90^{\circ}\)).

Step2: Set up the equation

Let \(z\) be the unknown angle. Then \(z + 36.3^{\circ}=90^{\circ}\).

Step3: Solve for \(z\)

Subtract \(36.3^{\circ}\) from both sides: \(z=90^{\circ}- 36.3^{\circ}\).

$$z = 53.7^{\circ}$$

Answer:

\(53.7\)