Need help for Geometry

Given :

Since all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.

m∠B = (92+y)°

m∠E = (6y-28)°

We know that :

Which means :

Thus, the value of y = 24

Then :

angle B :

Thus, the measure of angle B = 116

angle E :

Thus, the measure of angle E = 116

Since the measure of both these angles is equal we can conclude that we have found out their correct measures.

measure of segment AC = 2x + 47

Measure of segment DF = 6x + 3

Which means :

Thus, the value of x = 11

Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :