What is the value of x in the ( )

a. 20°
b. 10°
c. 64°
d. 42°

Here, ABE + EBC = 180   [ Linear -Pair equation ]
42 + EBC = 180
EBC = 180 - 42
EBC = 138

Now, In a triangle, sum of all the angles would be equal to 180
EBC + BCE + x = 180
138 + 42 + x = 180
x = 180 - 170
x = 10

In short, Your Answer would be Option B

Hope this helps!

You didn’t put the necessary image to solve the question : p