I'll write to you here. ok?
Let me load the image and add it to the question
You should see the image in the question now
Ok, let me read the question and catch up
Ok, let's begin the explanation
Parallel lines
Since AB and CD are parallel lines, they form similar angles on any line that crosses them
For example, angle AGH is congruent with angle CHF
Also, angle EGB is congruent with angle EHD
Do you understand the explanation so far?
What is not clear to you?
Just ask
Ok, let's go on
We have established the congruency between angles AGH and CHF
Thus, the measure of CHF is also 4x+30
Please note angles CHF and GHD are vertical angles
Or opposite by the vertex
Such angles are always congruent
Thus, their measures are equal:
4x+30=7x-9
Now we solve the equation
Subtracting 30
4x=7x-9-30=7x-39
Subtracting 7x
4x-7x=-39
Simplifying:
-3x=-39
Dividing by -3
x=-39/(-3)=13
x=13
That is the answer, I cannot see all of the options. Guess there is one with 13
Then 13 is the correct option