In the diagram, PTR is a tangent to the centre O. If angles TON = 108^\circ, Calculate the size of angle PTN
Attached Figure / Diagram
A
132o
B
126o
C
108o
D
102o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
In the diagram; 108^\circ + x + x = 180^\circ (sum of angle in a triangle)
108^\circ + 2x = 180^\circ
x = 180^\circ - 108^\circ
= 72^\circ
x = \(\frac{72^o}{2}\)
= 36^\circ
(Angle between tangent and a chord through the point of contact)
Hence, angle PTN = 90 + 36
= 126^\circ
Source: Myschool Past Questions Archive (Record #45757)