Can the angles of a trapezoid, taken in sequential order, be 1: 1: 2: 2?

Given:
quadrangle ABCE,
angle A: angle B: angle C: angle E = 1: 1: 2: 2.
Can angle A, angle B, angle B, angle C and angle E be trapezoid angles?
Decision:
Let the angle A = angle B and is equal to x degrees, then the angle C = angle E = 2 * x degrees. We know that the sum of the degree measures of a trapezoid is 360 degrees. Let’s make the equation:
x + x + 2 * x + 2 * x = 360;
x * (1 + 1 + 2 + 2) = 360;
x * 6 = 360;
x = 360: 6;
x = 60 degrees – the degree measure of angle B and angle A;
60 * 2 = 120 degrees – the degree measure of angle C and angle E.
Answer: they can.