Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up 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?

The measure of angle ZRY equals 180° by definition of supplementary angles.

Angles QRY and PQR should be proven congruent before the construction of line ZY.

The three angles of ΔPQR equal 180° according to Substitution.

Line ZY should be drawn parallel to segment QR.