In circle O, AD and BE are diameters.

Circle O is shown. Line segments A D and E B are diameters. Line segment O C is a radius. Point C is between points B and D. Angle A O C is a right angle. The measure of arc B C is (0.5 x + 34) degrees.

What is mArc A E?

106°
132°
138°
164°

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?

If you could answer these your a life saver

The constitution gives congress the power to create federal courts lower than the supreme court higher than the supreme court equal to the supreme court, unaffected by the supreme court.