In the given figure, ∠DAB = 60° and ∠ABD = 50°, then ∠ACB = ?
Given: ∠DAB = 60° and ∠ABD = 50°
In ΔABD
By angle sum property
∠DAB + ∠ABD + ∠ADB = 180°
60° + 50° + ∠ADB = 180°
110° + ∠ADB = 180°
∠ADB = 180° – 110° = 70°
Here,
∠ADB = ∠ACB = 70° (angles in same segment)
∴∠ACB = 70°