Question

In figure angle abc = 120 degree where A B and C or points on the circle with Centre O find angle OAC

Answer 1

∠OAC  = 30°  if A B and C or points on the circle with Centre O and ∠ABC = 120°

Step-by-step explanation:

∠ABC = 120°

=> ∠AOC = 2∠ABC

=> ∠AOC = 2 * 120

=> ∠AOC = 240°

=> ∠AOC on other side = 360° - 240° = 120°

in Δ OAC

OA = OC  (radius)

=> ∠OAC = ∠OCA

∠OAC + ∠OCA +  ∠AOC = 180°

=> 2 ∠OAC + 120° = 180°

=> 2 ∠OAC  = 60°

=> ∠OAC  = 30°

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