Find the value of X in each case. First to answer correctly will get rewarded!!

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

the correct answer is x/3+10≥32

hope this !