Question

lines b and c are parallel. what is the measure of ∠2? m∠2 = 31° m∠2 = 50° m∠2 = 120° m∠2 = 130°

Explanation:

Step1: Use the property of adjacent angles

Since \(\angle1=(7x + 1)^{\circ}\) and \(\angle2=(18x + 4)^{\circ}\) are adjacent angles on a straight - line, \((7x+1)+(18x + 4)=180\).

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Step2: Calculate the measure of \(\angle2\)

Substitute \(x = 7\) into the expression for \(\angle2\). \(\angle2=(18x + 4)^{\circ}\), so \(\angle2=(18\times7+4)^{\circ}=(126 + 4)^{\circ}=130^{\circ}\)

Answer:

\(m\angle2 = 130^{\circ}\)