Answer :

The figure is given below:


PQRS is a rectangle. The perpendicular ST from S on PR divides angle S in the ratio 2:3.


PSR = 90


It is given that, the perpendicular ST from S on PR divides angle S in the ratio 2:3.


divide the 90° angle into the ratio 2:3.


2x + 3x = 90


5x = 90


x = 18


therefore, 2x = 2×18 = 36 and 3x = 3×18 = 54


now, PST = 36 and


TSR = 54 = TSQ + QSR


PST = 36


TSR = 54 = TPS


Hence, TPQ = SPQ-TPS = 90-54 = 36


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