Answer:
m∠ABD = 60°
Step-by-step explanation:
From the given figure :
Given : m∠ACB = 30°
To find : m∠DBA
Solution : Since, the angle formed in the same segment are equal in the circle
⇒ m∠ACB = m∠ADB
Since, m∠ACB = 30°
⇒ m∠ADB = 30°
Now, Angle formed in the semicircle is right angle
⇒ m∠BAD = 90°
So, by using angle sum property of a triangle in the ΔADB. We get,
m∠ADB + m∠ABD + m∠BAD = 180
⇒ 30 + m∠ABD + 90 = 180
⇒ m∠ABD + 120 = 180
⇒ m∠ABD = 60°
