Question

In a circle of centre ‘O’. If ∠ABC=30 degree then find ∠AOC​

Answer 1

Answer:

140°

Step-by-step explanation:

In △ABO, AO=BO⇒∠BAO=∠ABO=30

o

In △CBO, CO=BO,⇒∠BCO=∠CBO=40

o

⇒∠ABC=∠ABO+∠CBO=30+40=70

o

Angle subtended at the center is twice the angle subtended anywhere on the arc, so,

∠AOC=2×∠ABC=140 °