Question

In the given figure, O is the centre of the circle. Find ∠AOC.​

Answer 1

Answer:

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Step-by-step explanation:

Join O and B.

In AAOB,

AO=BO

ZOBA = ZOAB = 30°

Simlilarly in ABOC,

OB=OC

ZINC = ZOCB = 40°

ZABO + ZOBC= ZABC

ZABC = 30° + 40°

ZABC = 70°

1 ZABC = ZAOC 2

1

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Radii (1) Opposite angles of equal sides

(2)

From (1) and (2)

ZABC =ZAOC

1

70° = SOC

2

ZAOC = 140°.