Question

In the given figure, O is the centre of a circle and ABE is a straight line. Find x.​

Answer 1

Answer:

From the figure,

∠OAC=22

∘

, O is the centre of the circle.

To find, ∠ADC=y

∠BOC=2×∠BAC=2×22

∘

=44

∘

(Angle at the centre=2×angle at any point on the remaining part of the circle)

∠AOC=180

∘

−∠BOC=180

∘

−44=136

∘

(∴ AOB is a straight line)

⇒ ∠ADC=

2

1

×∠AOC=

2

1

×136

∘

=68

∘

(Angle at any pt. on the remaining part of the circle=

2

1

×angle at the centre)

Answer 2

Answer:

The value of x will be 250°