Question

6. In the given figure, ZABD = 54 and
ZBCD = 43', calculate
(1) LACD, (ii) _BAD, (ii) ZBDA.​

Answer 1

Answer:

We know that the angles in the same segment of a circle are equal.

i.e., ∠ABD = ∠ACD = 54°

(ii)

We know that the angles in the same segment of a circle are equal.

i.e., ∠BAD = ∠BCD = 43°

(iii)

In ΔABD, we have:

∠BAD + ∠ADB + ∠DBA = 180°  (Angle sum property of a triangle)

⇒ 43° + ∠ADB + 54° = 180°

⇒ ∠ADB = (180° – 97°) = 83°

⇒ ∠BDA = 83°

Step-by-step explanation: