Question: Below is a two-column proof incorrectly proving that the three angles of PQR add up to 180: Statements Reasons Draw line ZY parallel toline segment

Below is a two-column proof incorrectly proving that the three angles of PQR add up to 180:

Statements Reasons

Draw line ZY parallel toline segment PQ Construction

mZRP + mPRQ + mQRY = mZRY Angle Addition Postulate

ZRP RPQ Alternate Interior Angles Theorem

QRY PQR Alternate Interior Angles Theorem

mRPQ + mPRQ + mPQR = mZRY Substitution

mZRY = 180 Definition of a Straight Angle

mRPQ + mPRQ + mPQR = 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 PQR equal 180 according to Substitution.

Line ZY should be drawn parallel to segment QR.

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