Question

ABC and DBC are two isosceles triangles on the same base BC show that

angle ABD is equal to angle ACD​

Answer 1

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

Answer 2

Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.......