Question

solve for the value of z.
answer
attempt 1 out of 3
z = submit answer
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Explanation:

Step1: Use the property of complementary angles

Complementary angles sum to \(90^{\circ}\). So, \((8z)+(3z + 2)=90\).

Step2: Combine like terms

\(8z+3z+2 = 90\) simplifies to \(11z+2=90\).

Step3: Isolate the term with \(z\)

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:

\(z = 8\)