Question

Q. 6. In figure 11.169, if ZABC = 20°, O is the centre of the circle, then ZAOC is equal to
(a) 20°
(b) 40°
(c) 10°
(d) 60°
​

Answer 1

We know that the angle at the centre of the circle is twice the angle at the circumference subtended by the same arc.

Thus,

∠AOC=∠ABC

⟹∠AOC=2×20

0

⟹∠AOC=40

0