Plz help, will give brainliest and 100 points Segment BC = _ units

Segment AC = _ units

Segment XY = _ units

Segment YZ = _ units

Segment XZ = _ units

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?

See attachment below and find the equivalent of tan(∠qsr)

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)