Question

ABCD ABCD is a quadrilateral in which AD=BC and angle DAB =angle CBA.. prove that

1. triangle ABD congruent to triangle BAC
2.BD=AC
3. angle ABD=angle BAC

slv this..plzz​

Answer 1

Answer:

1

from triangles ABD and BAC

angle CBA = DAB. (

given )

also AB=BC

side AD is common in both triangles

therefore, triangle ADB is congruent to triangle

BAC by SAS rule

2

therefore BD=AC (cpct)

proved above

3

also proved above that triangle ADB is congruent to triangle CBA

therefore angle ABD=angle BAC

hence proved

I hope it will help u