Question

Prove that ΔABC ≅ ΔDEC
Then find the values of x and y.

Answer 1

Prove That ΔABC ≅ ΔDEC

ΔABC ≅ ΔDEC because

DC = AC (1)

CE = CB (2)

Angle ACB = angle DCE(3)

So, both triangle are congruent according to SAS (Side, angle, side).