Proof:
Statement Reason
1. PV || QM Given
2. ∠1 is supplementary to ∠2 Same-Side Interior Angles Theorem
3. m∠1 + m∠2 = 180° Same-Side Interior Angle Theorem
4. ∠1 ≅ ∠3 Given
5. m∠1 = m∠3 Definition of Congruent angles => (If the angles are congruent, the measurements will be equal)
6. m∠3 + m∠2 = 180° Same side interior angle theorem (two angles on the same side make 180° if directly next to each other)
hope this helps
