Question

In the figure AB=AC
angle ABD= ACE
prove that
1) triangle ABD is congruent to ACE
2) angle AEC = ADB​

Answer 1

Step-by-step explanation:

in triangle ABD and Triangle ACE

AB=AC (given)

angle ABD = angle ACE (given)

angle BAC =angle CAB (common)

then triangle ABD and Triangle ACE are congruent.

And hence,angle AEC = angle ADB

Answer 2

Answer:

Proved

Step-by-step explanation:

1) triangle ABD is congruent to ACE by SAS (side angle side )

AB=AC (given)

angle ABD = angle ACE (given)

angle BAD= angle CAE ( common angle)

2) As triangle ABD is congruent with ACE

we can write that

angle AEC = angle ADB ( by cpct )

CPCT - corresponding part of congruent triangle