Question

In the given figure, O is centre, then reflex angle AOC =
(A)160 (B)200 (C)195 (D)185​

Answer 1

Answer:

The answer will be 200° (option B).

Step-by-step explanation:

Here the explanation goes.

We have given;

=  ∠EDC = 80°; (i)

It's clear that ADE is a straight line.

Hence, ∠ADC + ∠EDC = 180°; (linear pair) (ii)

Now, using equation (i) and (ii);

∠ADC + 80° = 180°;

∠ADC = 180° - 80°;

= 100°; (iii)

Now, according to a theorem

= ref. ∠AOC = 2 ∠ADC; (iv)

Hence, using equation (iii) and (iv);

= ref. ∠AOC = 2 (100°);

= ref. ∠AOC = 200°;

That's all.

Answer 2

Answer:

200°

Step-by-step explanation:

AOC=2(180-80). (AE is a straight line )

AOC=200°. (Central angle theorem