Question

In adjoining figure, O is the centre of the angle AOC = 110°, find angle ABC.
Hint. Reflex angle AOC = 360° – 110° = 250°.
angle ABC = 1/2 reflex angle AOC = 1/2 x 250° = 125º.​

Answer 1

Answer:

here is ur answer

i.e. angle ABC = 175°

Answer 2

∠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°

⇒∠ABC = 125°

#Learn more

The angle subtended by an arc at centre is double the angle subtended by it at any point on the remaining part of the circle Prove it

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