split the right triangle from the trapezoid and solve for that right triangle first
Answer:





Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:

Collect like terms



7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:

Make 5y the subject

5y = 7x -17
Make y the subject

Substitute 



Solving (b):
The triangle is right-angled.
So:

Collect Like Terms



Answer:
I have attached a photo containing my work and answers. If you have any questions, please let me know!
~Hope this helps!~
Let
A-----> 
B-----> 
C-----> 
we know that
Point A-------> Multiply numerator and denominator by 

Point B-------> Multiply numerator and denominator by 

Point C-------> Multiply numerator and denominator by 

Find the distance Point A to Point C

Find the distance Point B to Point C

therefore

Point B is closer to Point C
is closer to 
the answer is
is closer to 
36 / x = 12 / 10
12x = 360
x = 30
The correct answer is C. 30 inches.
Hope this helps! :)