Find the measure of angle x in the figure below: answers : a). 35° b). 47° c). 51° d). 62°

The three angles at the top are equal to 180 degrees.
Add up the other two angles:
57 + 61 = 118
Now subtract from 180 to find 'y':
180 - 118 = 62
So 'y' is equal to 62 degrees.
Now we have a triangle with angle measurements of 62 and 67 degrees.
All three angles of a triangle add up to 180 degrees.
Add up the two angles given:
62 + 67 = 129
Subtract it from 180 to get 'x':
180 - 129 = 51
So 'x' is equal to 51 degrees.