Question

In triangle ABC,AB=AC and angleA = 40°.The bisector from angle B intersects AC at point D .What is angle BDC​

Answer 1

Answer:

this is the answer

Step-by-step explanation:

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Answer 2

In Δ ABD  and Δ BDC

1) BD is common side

2)∠ DBA = ∠ DBC ( BD is the bisector of∠B )

3) AD =DC ( D is the midpoint of AC.)

∴Δ ABD ≅Δ BDC ( SAS congruency)

∴∠ADB =∠ BDC

As BD is  the bisector  of ∠B , BD is perpendicular on AC and D is the midpoint of AC.

∴∠ ADB =∠ BDC = 90°

Ans :-The angle BDC will be 90°