in the adjoining figure if O is the center of circumcircle of angle ABC and angle AOC = 110degree let us write by calculating the value of angleABC.
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Step-by-step explanation:
ABC = 125°
Step-by-step explanation:
Given : ∠ AOC = 110°
To find: ∠ ABC
Now as given
∠ AOC = 110°
Therefore reflex of ∠ AOC is
Reflex ∠AOC = 360°- ∠AOC = 360° - 110°= 250°
Now
As we know :Angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on remaining part of the circle.
So
2 ∠ABC = Reflex ∠AOC
⇒ 2∠ABC = 250
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