The triangle DEF circumscribes the three escribed circles of the triangle ABC. I have to prove that
$$\dfrac{EF}{a \cos A} = \dfrac{FD}{b \cos B}= \dfrac{DE}{c \cos C}.$$ Also, point D is opposite to A. E is opposite to B. F is opposite to C
I am not able to find the angles of the triangle DEF. Help me