Since BEC is isosceles, CBE 50° (because the base angles of an isosceles triangle are equal).
Since ABC is supplementary to CBE, .
Since the opposite angles of a parallelogram are equal, .
Now, since the sum of the angles of the parallelogram is 360°, the sum of the other two angles is 360° 130° 130° 100°. Therefore, .
There is one more special type of quadrilateral that comes up frequently. If a quadrilateral has only one pair of parallel sides, it is called a trapezoid. The two parallel sides are called the bases of the trapezoid. In Figure G.51 the bases are labeled b1 and b2.