In the given figure O is the centre of the circle if ∠OAB = 40° and C is a point on the
circle, then find ∠ACB
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Answer:
∵OA=OB (radius of circle)
∴∠OAB=∠OBA (angles opposite to equal sites)
∠OBA=40°
In right angled ΔOAB
∠OAB+∠OBA+∠AOB=180°
40° + 40° +∠AOB=180°
∠AOB=180°-80°
∠AOB=100°
We know that
∠ACB= 1/2 ∠ A B C
= 1/2 ×100° = 50°
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