Are the triangles congruent? If so, how do you know? yes, because all the angles of the triangles are acute yes, because the triangles have three congruent, corresponding angles yes, because of ASA or AAS not enough information given

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

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Awasher and a dryer cost $701 combined. the washer costs $51 more than the dryer. what is the cost of the dryer?