Below is a two-column proof incorrectly proving that the three angles of APQR add up to 180°
Statements
ZORY ZPQR
Draw line ZY parallel to PQ
mZZRP+mZPRQ+mZQRY = m/ZRY Angle Addition Postulate
ZZRP ZRPQ
Reasons
m/ZRY= 180°
mZRPQ+mZPRQ+ mzPQR = 180°
Alternate Interior Angles Theorem
Construction
mZRPQ+mZPRQ+mzPQR = m/ZRY Substitution
Alternate Interior Angles Theorem
Definition of a Straight Angle
Substitution
Which statement will accurately correct the two-column proof?
O The measure of angle ZRY equals 180° by definition of supplementary angles
Angles QRY and PQR should be proven congruent after the construction of line ZY
O The three angles of APQR equal 180" according to the Transitive Property of Equality
O Line ZY should be drawn parallel to segment QR
