Split it into two triangles at the 110 degree angles. Each triangle needs to add up to 180 degrees. If there are two triangles, total should be 360 degrees. So the whole figure should have 360 degrees. 110+110+70 = 290 degrees. 360-290 = 70 degrees. 70/5 = 14 degrees.
There is also congruence between the triangles through which we can assume 5x will equal 70 degrees.
The type of figure it is also means the angles will be the same on opposite sides