DE = AE
BA || CE CB || DA B = 116° E = ?
B and D = 116°
the angle next to D measures 180 - 116 = 64°
Angles inside the triangle ADE
Angle A = 64° and angle D = 64° because it is an isosceles triangle.
So E = 180 - A _ D
E = 180 - 64 - 64
E = 180 - 128
E = 52°