Answer:
x=17, y=12
Step-by-step explanation:
From the figure we know that,
Angle CDB = 4x-5
Angle BDE = 10y-3
Angle DEA= 97-2x
Though we are NOT given that line segments BD and AE are parallel, we may assume so by the construction of the triangle.
Hence, BD II AE and are cut by the transversal CE,
Hence,
Angle CDB = Angle CEA {Corresponding angles are equal}

As we observe that,
Angle CDB and Angle BDE form a linear pair, they are supplementary.
Hence,
Angle CDB + Angle BDE = 180

Answer:
259
Step-by-step explanation:
You could set up an equation that looks like:

Then solve for 
1. subtract 92 from 251

2. add 100 to both sides

I believe if my work was correct that your answer would be choice B