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Question

In the given figure, O is the centre of a circle. Then OAB=?

(a) 50

(b) 60

(c) 55

(d) 65


Solution

ANSWER:
(d) 65°
We have:
OA = OB (Radii of a circle)
Let ∠ OAB = ∠ OBA = x °
In Δ OAB, we have:
x ° + x ° + 50° = 180° (Angle sum property of a triangle)
⇒ 2 x ° = (180° - 50°) = 130°
⇒ x=1302°=65°
Hence, ∠OAB = 65°

Mathematics
Secondary School Mathematics IX
Standard IX

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