# PQRS is a rectang

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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