Question

18 solve for x. answer: 7x + 4 8x + 11

Explanation:

Step1: Identify angle - relationship

The angles \(7x + 4\) and \(8x+11\) are supplementary (linear - pair of angles), so their sum is \(180^{\circ}\).
\((7x + 4)+(8x + 11)=180\)

Step2: Combine like - terms

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Step3: Isolate the variable term

Subtract 15 from both sides of the equation.
\(15x+15 - 15=180 - 15\)
\(15x=165\)

Step4: Solve for x

Divide both sides by 15.
\(x=\frac{165}{15}\)
\(x = 11\)

Answer:

\(x = 11\)