Answer:
x= 45 degrees
Step-by-step explanation:
First of all, IK and EH are parallel
This means that angle EFI is equal to angle FIK due to the alternate interior angle theorem
Angle FIK can be split into two separate angles: angle FIG and angle GIK
GIK+FIG=3x (FIK)
Since we already know that GIK is x, we know that FIG is 2x since they must add up to 3x
Now we can look at angle FIJ and FIG since they are supplementary
FIJ is 2x and we just figured out that FIG is also 2x
FIJ and FIG must add up to 180 since they are supplementary
2x+2x=180
4x=180
x=45 degrees
