Question

ABC and DBC are two isosceles triangle on the same side BC show that angle ABD is equal to angle ACD

Answer 1

The two sides of isoscelles are equal .
so, angle AB= angle AC in up side .

down side angle BD=angle CD .
its a property

angle ABD = anlgle ACD
because. if we take base angle AD so , in first. angle BA=angle BD then angle Ac=angle CD

Answer 2

Hello mate ☺

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$\bold\red{Solution:}$

AB=AC                  (Given)

It means that ∠ABC=∠ACB   (In triangle, angles opposite to equal sides are equal) .....(1)

BD=DC             (Given)

It means that ∠DBC=∠DCB    (In triangle, angles opposite to equal sides are equal)  ......(2)

Adding (1) and (2), we get

∠ABC+ ∠DBC=∠ACB+∠DCB

⇒∠ABD=∠ACD

I hope, this will help you.☺

Thank you______❤

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