In the diagram AD ~= BC and angleD ~=angleC. Prove that angleA ~= angleB

Given Hint: you probably need to see a few triangles, so construct a segment or two (Do NOT construct angle bisectors)

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    Draw the perpendicular from A to the segment DC, to the point E.
    Draw the perpendicular from B to the segment DC, to the point F.

    The triangles ADE and BCF are congruent: because
    they have two angles (angle D and angle C, and right angles at E and F)...
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