TP and TQ are tangents to a circle centre 0, and r is a point on the circumference of the circle as shown in the figure. If angle PTQ = 45º, what is the magnitude of the angle PRO?
Attached Figure / Diagram
A
45\(^0\)
B
135\(^0\)
C
40\(^0\)
D
67\(\frac{1}{2}\)\(^0\)
E
52\(\frac{1}{2}\)\(^0\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\overline{PT}\) = \(\overline{PQ}\) ⇒ tangents from an external point are equal
\(T\hat{P}Q\) = \(T\hat{Q}P\) ⇒ base
Source: Myschool Past Questions Archive (Record #32764)