Use the figure and information to complete the proof. Given: m∥n Prove: m∠1+m∠2+m∠3=180∘ Parallel lines m & n. Points D, B, & E are on m. Points A & C are on n. Triangle A B C is drawn. The angles are labeled with numbers. B is 1. A is 2. C is 3. Angle 1 is between angles 4 & 5. © 2019 StrongMind. Created using GeoGebra. Match each numbered statement in the proof with the correct reason. 1. m∥n Given Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 2. m∠1+m∠5=m∠ABE Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 3. ∠ABE and ∠4 are a linear pair. Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 4. m∠ABE+m∠4=180∘ Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 5. m∠1+m∠5+m∠4=180∘ Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 6. ∠2 and ∠4 are alternate interior angles. ∠3 and ∠5 are alternate interior angles. Alternate Interior Angles Theorem Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 7. ∠2≅∠4 ∠3≅∠5 Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 8. m∠2=m∠4 m∠3=m∠5 Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 9. m∠1+m∠3+m∠2=180∘ Select an option Select an option Alternate Interior Angles Theorem Linear Pair Postulate Definition of linear pair Definition of congruent angles Given Commutative Property of Addition Definition of alternate interior angles Angle Addition Postulate Substitution Property of Equality Substitution Property of Equality 10. m∠1+m∠2+m∠3=180∘