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3 years ago

The following is a special trapezoid. Given AB || DC and m∠A = 113° Find the measure of ∠D.

1 answer:

6 0

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°

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