From the diagram above, angle b = 34 degrees (angles in the same segments)
Angle c = 18 degrees (angles in the same segments)
Angle y = (b + c) = 18 + 34 = 52 degrees (external angle of a triangle = sum of internal opposite angles)
Angle z above and 34 makes a straight line. Sum of angles on a straight line = 180 degrees
So, z + 34 = 180
z = 180 - 34
z = 146 degrees
Angles z, x, and c, all make up a triangle.
Sum of angles in a triangle = 180 degrees
Therefore, z + x + c = 180
146 + x + 18 = 180
x + 164 = 180
x = 180 - 164 = 16 degrees
Therefore, y = 52 degrees and x = 16 degrees
