Question

in the given figure O is the centre of circle angle AOC is equal to 120 degree find X and Y

Answer 1

x is 60
Y is 120
Is that correct

Answer 2

The value of x is 60° and value of y is 120°.

Step-by-step explanation:

Given information: In circle O, ∠AOC = 120°.

$\angle ABC=\dfrac{1}{2}(\angle AOC)$               (Central angle theorem)

$x=\dfrac{1}{2}(120)$

$x=60$

The value of x is 60°.

In a cyclic quadrilateral, the sum of opposite angles is 180°.

In ABCD,

$\angle ABC+\angle ADC=180$

$x+y=180$

Substitute x=60 in the above equation.

$60+y=180$

$y=180-60$

$y=120$

Therefore the value of x is 60° and value of y is 120°.

#Learn more

In given figure o is center of the circle if angle aoc =130 then find angle abc.

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