Home » In the figure, PS = RS = QS and QRS = 50°. Find QPR

In the figure, PS = RS = QS and QRS = 50°. Find QPR

In the figure, PS = RS = QS and QRS = 50°. Find QPR

A.
25^O
B.
40^O
C.
50^O
D.
65^O

Correct Answer: Option A

Explanation

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°