If ∠ABC = (2x + 25)°, then the value of ∠ACB:
Answer & explanation
Correct answer: option 3
In Δ ABC,
⇒ ∠BAC + ∠ABC = ∠ACD
⇒ (x - 20)° +(2x + 25)° = (2x + 30)°
⇒ (3x + 5)° = (2x + 30)°
⇒ x = 30° - 5°
⇒ x = 25°
Now,
∠ACD = (50 + 30)° = 80°
and
∠ACD + ∠ACB = 180°
∠ACB = 180° - ∠ACD = 180° - 80° = 100°