Question

PQRS is a rectangle the perpendicular St from S on PR divides angle as in the ratio2 ratio 3 find the angle tpq

Answer 1

Given, 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° = ∠RPQ = ∠ PRS = QSR,

∠TSR = 54° = ∠SPT

Hence , ∠TPQ = ∠SPQ – ∠TPS = 90° – 54° = 36°

Answer 2

Answer:

36° is the answer hope it will help u