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