In square PQRS :

(i) if PQ = 3x - 7 and QR = x + 3, find PS.

(ii) if PR = 5x and QS = 9x — 8. Find QS.

ABCD is a rectangle. If ∠BPC = 124°, calculate :

(i) ∠BAP

(ii) ∠ADP.

ABCD is a rhombus. If ∠BCA = 35°, find ∠ADC.

PQRS is a parallelogram whose diagonals intersect at M.

If ∠PMS = 54°, ∠QSR = 25° and ∠SQR = 30°, find :

(i) ∠RPS

(ii) ∠PRS

(iii) ∠PSR.