Question

two parallel lines are cut by a transversal as shown below. suppose m∠8 = 126°. find m∠1 and m∠3. m∠1 = m∠3 =

Explanation:

Step1: Identify angle - relationship for ∠1 and ∠8

∠1 and ∠8 are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.
Since \(m\angle8 = 126^{\circ}\), then \(m\angle1=126^{\circ}\).

Step2: Identify angle - relationship for ∠3 and ∠8

∠3 and ∠8 are alternate - exterior angles. When two parallel lines are cut by a transversal, alternate - exterior angles are congruent.
So \(m\angle3 = 126^{\circ}\).

Answer:

\(m\angle1 = 126^{\circ}\)
\(m\angle3 = 126^{\circ}\)