In the figure, PS = RS = QS and QSR = 50^\circ. Find QPR
Attached Figure / Diagram
A
25O
B
40O
C
50O
D
65O
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
In the figure PS = RS = QS, they will have equal base QR = RP
In angle SQR, angle S = 50º
In angle QRP, 65 + 65 = 130º
Since RQP = angle RPQ = \(\frac{180 - 130}{2}\)
= \(\frac{50}{2} = 25^o\)
QPR = 25^\circ
Source: Myschool Past Questions Archive (Record #32877)