In the diagram above, ATR is a tangent at the point T to the circle center O, if ∠TOB = 145^\circ, find ∠TAO
Attached Figure / Diagram
A
20o
B
35o
C
45o
D
55o
E
65o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
From the figure, < ATO = 90^\circ
< AOT = 180^\circ - 145^\circ = 35^\circ
\(\therefore\) < TAO = 180^\circ - (90^\circ + 35^\circ)
= 55^\circ (sum of angle in a triangle)
Source: Myschool Past Questions Archive (Record #22925)