In the given figure, O is the Centre of a circle. Then, ∠OAB is ____ $∘$ .

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Detailed Solution

In the given figure, O is the centre of a circle. Then, ∠OAB is 65

∘

.
Given a figure.
In the given figure, O is the centre of a circle. Then ∠ OAB=? a 50∘ b 60∘ c 55∘ d 65∘

As, O is center OA and OB are radius.
Therefore, OA = OB.
Assume, ∠OAB = ∠OBA = x.
Now, in triangle OAB
Applying angle sum property,
x + x + 50 = 180° 2x = (180° - 50°)
2x = 130°
x = 65°
Hence, the measure of ∠OAB is 65°.

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