Open ended, Math help Please!?

Question

 below is an isosceles trapezoid. Diagonals and  intersect at point and

1. _____
2. _____
3. _____
4. _____

Answer 1

Since it's given that it's an isosceles trapezoid, the diagonals are equal. Therefore, QS = PR

Since QS = 12

PR = 12

Because RT = PR - PT

RT = 12 -4.9

RT = 7.1

The internal angles of triangle QRS must add up to 180°

Since ∠Q = 70 and ∠S = 44,

∠ R = 180-70-44 = 66°

For a trapezoid, the top angles are equal and the bottom angles are equal

∠P = ∠Q and ∠S = ∠R

Since we know ∠R = 66° and we know from the diagram that ∠QSR = 44°.

∠QSP = ∠S - ∠QSR

∠QSP = 66-44

∠QSP = 22

∠QSP = ∠QPR = 22

For an isosceles trapezoid, the legs are equal. Therefore,

PS = QR = 9 cm

The internal angles of triangle RST must add up to 180°

Since we know from the diagram that ∠RST = 44°

and

Since we know from our earlier work that ∠SRT = 44°

∠STR = 180° - 44° - 44° = 92°