In the given figure, AB is a diameter of a circle with centre O and DO

1.	In the given figure, AB is a diameter of a circle with centre O and DO\|\|CB. If ∠BCD=120∘, calculate (i) ∠BAD, (ii) ∠ABD, (iii) ∠CBD, (iv) ∠ADC. Also, show that △AOD is an equilateral triangle.
Answer» In the given figure, AB is a diameter of a circle with centre O and DO\|\|CB. If $∠ B C D = 120^{\circ},$ calculate (i) $∠$ BAD, (ii) $∠$ ABD, (iii) $∠$ CBD, (iv) $∠$ ADC. Also, show that $△$ AOD is an equilateral triangle.

In the given figure, AB is a diameter of a circle with centre O and DO||CB. If ∠BCD=120∘, calculate (i) ∠BAD, (ii) ∠ABD, (iii) ∠CBD, (iv) ∠ADC. Also, show that △AOD is an equilateral triangle.

Answer»

In the given figure, AB is a diameter of a circle with centre O and DO||CB.

If $∠ B C D = 120^{\circ},$ calculate

(i) $∠$ BAD, (ii) $∠$ ABD,

(iii) $∠$ CBD, (iv) $∠$ ADC.

Also, show that $△$ AOD is an equilateral triangle.