Below is a two-column proof incorrectly proving that the three angles of δpqr sum to 180°: statements reasons draw line zy parallel to segment pq construction m∠zrp + m∠prq + m∠qry = m∠zry angle addition postulate ∠zrp ≅ ∠rpq alternate interior angles theorem ∠qry ≅ ∠pqr alternate interior angles theorem m∠rpq + m∠prq + m∠pqr = m∠zry substitution m∠zry = 180° definition of a straight angle m∠rpq + m∠prq + m∠pqr = 180° additive property of equality which statement will accurately correct the two-column proof?

Proof with statement is below.

Step-by-step explanation:

To Prove:

m∠RPQ + m∠PRQ + m∠PQR = 180°

Proof:

Draw line ZY parallel to segment PQ ............{Construction}

1. m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY  .....{Angle Addition Postulate}

2. ∠ZRP ≅ ∠RPQ   ........{Alternate angles equal as ZY || PQ}

3. ∠QRY ≅ ∠PQR  .........{Alternate angles equal as ZY || PQ}

4. m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY  ....{The three angles of ΔPQR equal 180° according to Substitution }

5. m∠ZRY = 180°   ......{Definition of a Straight Angle}

6. m∠RPQ + m∠PRQ + m∠PQR = 180° ...{Additive Property of Equality}...............PROVED