Question

In the given figure, O is the centre of the circle and ∠AOC = 120°. Find ∠ABC.​

Answer 1

Answer:

obtuse <AOC=360-120=240

<ABC=1/2 <AOC=120

Answer 2

Step-by-step explanation:

Given :

O is the Centre Of the Circle

< AOC = 120°

Find :

< APC

Solution :

By Using Theorem

The angle Subtended by an arc at the Centre is double the angle Subtended by it at any point on the remaining Part Of the Circle

Therefore < AOC = 2 × < APC

120° = 2 × < APC

Therefore < APC = 120°/2

< APC = 60°

The < APC is a 60°

Some Important Properties Circle Related

Equal Chord Of a Circle Subtend equal angle at the centre

The Perpendicular From the centre of a Circle to a chord Bisect the chord

The Line drawn through the centre of a Circle to bisect a chord is perpendicular to the chord

Equal Chord of a Circle are equidistant from the centre

Chord Equidistant from the centre of a Circle are equal in length

Angle in the Same segment Of a Circle are equal