When 2 lines cross the angles across from equal are equal so the 31 degree angle is the value of the second angle in the left hand triangle. You now have 2 angles with values of 31 degrees 33 degrees. Add these 2 together to get 64 degrees. To get the third angle subtract this from 180 degrees which is the total degrees in a triangle. The third angle is 116 degrees. When two angles are on one side of a straight line, their sum is 180 degrees. That is true of the two bottom angles in the triangle on the right. You need to subtract each of the known angles from 180 degrees. 180 - 116 = 64 and the other is 180 - 96 = 84. To find angle x add these 2 angles and subtract from the total number of degrees in a triangle which is 180 degrees. 84 + 64 = 148. Subtract from 180. X = 32.