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17.) solve for z. (3x + 12)° x°

Question

17.) solve for z.
(3x + 12)° x°

Explanation:

Step1: Identify angle relationship

The two angles form a linear pair, so their sum is \(180^\circ\). Thus, \((3x + 12) + x = 180\).

Step2: Combine like terms

Simplify the left - hand side: \(4x+12 = 180\).

Step3: Subtract 12 from both sides

\(4x=180 - 12=168\).

Step4: Divide by 4

\(x=\frac{168}{4} = 42\).

Answer:

\(x = 42\)