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Mathematics, 03.02.2022 16:50 justarando

Hi! can anyone help me? Question is down in the picture below! 10 points! Thank you!


Hi! can anyone help me? Question is down in the picture below! 10 points! Thank you!

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Mathematics, 20.06.2019 18:04, Uc34758
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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Hi! can anyone help me? Question is down in the picture below! 10 points! Thank you!
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