Question

2) BD is a line segment. From D two line segments AD and DC are drawn
such that AD = CD, also angle 3 = angle 4. Prove that segment BD bisects angle ABC.​

Answer 1

Answer:

take triangle DBC and DBA

PROVE THAT DBC congruent to DBA

DC = DA ( GIVEN )

ANGLE 1 =ANGLE 2 (prooved by liner pair)

BD=BD(common)

then, DBC~= DBA

angle 5 =angle 6 (cpct)

so BD Is bisector of angle ABC