Question

lines x and y are parallel. which of the following represents the relationship between ∠b and ∠e? m∠b + m∠e = 360 m∠b = m∠e m∠b + m∠e = 90 m∠b + m∠e = 180

Explanation:

Step1: Identify angle - pair type

\(\angle b\) and \(\angle e\) are same - side interior angles formed by two parallel lines \(x\) and \(y\) and a transversal.

Step2: Recall angle - pair property

Same - side interior angles of parallel lines are supplementary, which means their sum is \(180^{\circ}\). So \(m\angle b + m\angle e=180\).

Answer:

\(m\angle b + m\angle e = 180\)