The following is a special trapezoid. given ab || dc and m∠a = 113° find the measure of ∠d. 67° 77° 113° 123°

The answer is 67°.
Since the parallel sides of a trapezoid are called bases, the bases in our given trapezoid are AB and DC. We know that the corresponding pairs of base angles, such as ∠A and ∠D, or ∠B and ∠C, are supplementary, therefore, their angles add up to 180 degrees:
     ∠A + ∠D = 180°
     ∠B + ∠C = 180°
Given that m∠A = 113°, we can calculate for the measure of ∠D:
     113° + ∠D = 180°
     ∠D = 180° - 113° = 67°