In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 90°
Now, In ΔABC:
50° + x + 50° = 180°
⇒ x = 80°
∠ACD = 180° - x = 180° - 80° = 100°
In ΔACD:
100° + y + y = 180°
⇒ y = 40°
Hence,
∠BAD = 50° + 40° = 90°