Question

the incircle of a triangle ABC touches BC ca and ab at d e and f repectively. the angles of triangle def are​

Answer 1

Answer:

60°

Step-by-step explanation:

The incircle is touching the mid point of every arms of the big triangle. So def will be a Equilateral triangle. That's why it will be 60°

Answer 2

Answer:

GiveGiAB=AC(1)

To prove:BD=CD

Proof:BD=BF(2)

AE=AF(3)

CE=CD(4)

now AB=AC

AF+BF=AE+CE(from 1)

So,BF=CF

BF=BD&CE=CD

BD=CD

Hence Proved