Question

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

Explanation:

Step1: Use the property of supplementary angles

Since lines \(b\) and \(c\) are parallel, \((7x + 1)+(18x + 4)=180\) (consecutive interior angles are supplementary).

$$
LATEXBLOCK0
$$

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

Substitute \(x = 7\) into \(\angle2=(18x + 4)^{\circ}\)

$$
LATEXBLOCK1
$$

Answer:

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