Question

Pls answer maths
I will mark brainyliest if answered with full steps

Answer 1

Answer:

Given : AD = BC

: /_1 = /_2

: /_3 = /_4

To prove : BD = AC

Proof : /_1 = /_2 -(i)

and, /_3 = /_4 -(ii)

Adding (i) and (ii)

/_1 + /_3 = /_2 + /_4

/_DAB = /_CBA -(iii)

In ∆DAB and ∆CBA

BD = AC (Given)

/_DAB = /_CBA (From equation (iii))

AB = BA (Common)

∆DAB ~= ∆CBA

Therefore, BD = AC (CPCT)

Hope it helps you!