In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40^\circ and ∠MNP = 55^\circ. Find ∠QPR
Attached Figure / Diagram
A
15o
B
25o
C
35o
D
40o
E
55o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Draw line ANB// ML
< MNA = 40^\circ (alternate angle AB/ ML)
< ANP = 55^\circ - 40^\circ = 15^\circ
< PQR = 15^\circ = < ANP (corresponding angles, PN // RQ)
Source: Myschool Past Questions Archive (Record #23162)