Answer:
x= ~37.4 degrees
there are lots of ways to solve this triangle
solve with law of sine:
i think i briefly explained it in your last question
im thinking for this one we will solve for measure of angle E then subtract it and 90 from 180
180-90-angle E= x
Pythagorean them for side EG
2.6^2 +3.4^2 = (EG)^2
EG= ~4.28
apply law of sine
call measure angle e =a
3.4 /sin of a= 4.28 /sin 90
3.4*(sin 90) = 4.28* (sin of a)
/////sin90=1
3.4 = 4.28* (sin of a)
3.4/ 4.28 = (sin of a)
sin of a= ~0.7944
do sin inverse to get value of a
a= 52.5986 degrees
180-90-a= x
180-90-52.5986=x
x=37.4014
x= ~37.4 degrees
hope this helps !!