Question

If ray BD bisector of angle ABC and ray BE bisector of angle DBE ,If measure angle

EBC=20°, then find angle ABC.​

Answer 1

Step-by-step explanation:

Given AB=AC

In △ABC

BD is the bisector of ∠ABC

∴ by using angle bisector property we have

AD/DC = AB/BC .....(1)

and CE is the angle bisector of ∠ACB

∴ by using angle bisector property,

AE/EB = AD/BC....(2)

But segment AB=segment AC ......(3)

From (1),(2) and (3) we have

AE/EB = AD/DC

∴segment ED∥segment BC by converse of basic proportionality theorem.