Find the measure of angle x in the figure below

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.