a) QRST is a kite as opposite angles are not equal so TQ = QR & TS = RS

in triangle TQR , < QTR = < QRT

< QTR = (180 - 102)/2 = 36

in triangle TSR , < STR = < SRT

< STR = ( 180 - 125)/2 = 37.5

< QTS = 36 + 37.5 = 73.5

b) diagonals of kite are perpendicular to each other

TP = PR = TR/2 = 7

QP = 7

in right isoseces triangle QPR

QR^2 = QP^2 + PR^2

= 7^2 + 7^2

QR = 7sq.rt..2

TQ= 7sq.rt.2

PS = QS - QP = 11 - 7 = 4

in right triangle PRS

RS^2 = RP^2 + SP^2 = 7^2 + 4^2

= 65

RS = sq.rt.65

RS = TS = sq.rt.65

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