Find Angle x

Let me see.

Lines h and g meet to form congruent angles.
Lines h and g cut lines d and f.

Angle x = 35° + (180° - 120°)

Angle x = 35° + 60°

Angle x = 85°

You say?

 

take a look at isosceles triangle formed by lines g,h an f

base angles are same, both are x
and third angle is 35

2x+35=180
2x=180-35
2x=145
x=145/2
x=72.5

 

I went back to the actual question. The value of x you found is not listed as a possible answer. However, on the list of 4 choices, my value of x is given.