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In the diagram above ATR is a tangent at the po... - WAEC Mathematics 1991 Question

In the diagram above, ATR is a tangent at the point T to the circle center O, if ∠TOB = 145°, find ∠TAO

A
20o
B
35o
C
45o
D
55o
correct option: d

From the figure, < ATO = 90°

< AOT = 180° - 145° = 35°

\(\therefore\) < TAO = 180° - (90° + 35°)

= 55° (sum of angle in a triangle)

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