Below is a two-column proof incorrectly proving that the three angles of APQR add up to 180°: Statements
Reasons
Draw line ZY parallel to PO
Construction
m_ZRP+ m2PRQ + m2QRY = 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
m2ZRY = 180°
Definition of Supplementary Angles
m RPQ+ m2PRQ + m2 PQR = 180°
Substitution
Which statement will accurately correct the two-column proof?
The measure of angle ZRY equals 180° by definition of a straight angle.
O Angles QRY and PQR should be proven congruent before the construction of line ZY.
The three angles of APQR equal 180° according to the Transitive Property of Equality.
O Line ZY should be drawn parallel to segment QR.