Question

two parallel lines are cut by a transversal as shown below. suppose m∠2 = 33°. find m∠5 and m∠8. m∠5 = m∠8 =

Explanation:

Step1: Identify angle - pair relationship for ∠2 and ∠5

∠2 and ∠5 are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.
Since \(m\angle2 = 33^{\circ}\), then \(m\angle5=33^{\circ}\)

Step2: Identify angle - pair relationship for ∠2 and ∠8

∠2 and ∠8 are alternate - exterior angles. When two parallel lines are cut by a transversal, alternate - exterior angles are congruent.
Since \(m\angle2 = 33^{\circ}\), then \(m\angle8 = 33^{\circ}\)

Answer:

\(m\angle5 = 33^{\circ}\), \(m\angle8=33^{\circ}\)