Question

225. In the given figure A ABC and DBC are isosceles. In A ABC, AB=AC and in A DBC, BD=DC. Find the following and give reasons:-
A) ABC and ACB
B) DBC and DCB
C) angle Y​

Answer 1

Answer:

Step-by-step explanation:

Given  ΔABC and ΔDBC are two isosceles triangles on the same base BC

In  isosceles ΔABC

AB=AC

Then ∠ABC=∠ACB.(1)

In  isosceles ΔBDC

BD=DC

Then ∠CBD=∠BCD (2)

Add (1) and (2) we get

∠ABC+∠CBD=∠ACB+∠BCD

But ΔABC  and ΔDBC on same base

∴∠ABD=∠ACD