Answer:
Option (A).
Step-by-step explanation:
Statements Reasons
1). Draw a line ZY parallel to PQ 1).Construction
2). m∠ZRP + m∠PRQ + m∠QRY = 180° 2). Angle addition postulate
3). ∠ZRP ≅ ∠RPQ 3). Alternate interior angles theorem
4). ∠QRY ≅ ∠PQR 4). Alternate angle theorem
5). m∠RPQ + m∠PRQ + m∠PQR =m∠ZRY 5). Substitution
6). m∠ZRY = 180° 6). Definition of supplementary angles
7). m∠RPQ+m∠PRQ+m∠PQR = 180° 7). Substitution
Here reason of statement (6) is incorrect.
m∠ZRY = 180°, because angle ZRY is a straight angle not a supplementary angle.
Therefore, Option (A) will be the answer.
