int he figure o is the center point on the circle what are the angles of the triangle ABC < ABO =120° <ACO =120°
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In △OAB, we have
OA = OB [radii of same circle]
⇒ ∠OAB = ∠OBA = 20° [∠s opp. to equal sides]
In △OAC, we have
OA = OC [radii of same circle]
⇒ ∠OAC = ∠OCA = 30° [∠s opp. to equal sides]
Now, ∠BAC = ∠OAB + ∠OAC
= 20° + 30° = 50°
x = ∠BOC = 2∠BAC
= 2 × 50° = 100°
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