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transversal problems with equations (level 1
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given m||n, find the value of x.
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attempt 1 out of 3
x=
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Explanation:

Step1: Use the property of same - side interior angles

When \(m\parallel n\), the sum of same - side interior angles is \(180^{\circ}\). So \((3x - 15)+(x + 7)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3x+x-15 + 7=180\), which gives \(4x-8 = 180\).

Step3: Solve for \(x\)

Add \(8\) to both sides: \(4x=180 + 8=188\). Then divide both sides by \(4\): \(x=\frac{188}{4}=47\).

Answer:

\(47\)