I need help!! Triangle AMS and Triangle ENR are congruent triangles. What is the value of yon side NR? Show and explain your work.

Because triangle AMS and triangle ENR are congrugent, so we have:
-> angle SAM = angle NER
-> 112° = 16x°
-> x = 7

and bc the two triangle are congrugent so we also have:
SM = NR = 41
if you need to solve for x and y, just set the two equation like this:
41 = 3x + 5y
plug x = 7 in:
-> 41 = 3.7 + 5y
-> y = 4
I hope this will help!