Question

answer attempt 1 out of 2

z =

Explanation:

Step1: Set up the equation

Since the two angles \((8z)^{\circ}\) and \((3z + 2)^{\circ}\) are complementary (they add up to \(90^{\circ}\)), we have the equation \(8z+3z + 2=90\).

Step2: Combine like - terms

Combine the \(z\) terms: \(11z+2 = 90\).

Step3: Isolate the variable term

Subtract \(2\) from both sides: \(11z=90 - 2\), so \(11z=88\).

Step4: Solve for \(z\)

Divide both sides by \(11\): \(z=\frac{88}{11}\).

Answer:

\(z = 8\)