Question

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

Answer 1

The answer is 54. You have to first redraw the diagram. First draw a line from P to R.Then draw a perpendicular from <S to the line PR. 
    We know that all the angles of a rectangle is 90.In the question the angle S is in the ratio 2:3. 
   Let the angles be x; 2x +3x=90(all the angles of rect. is 90). you'll get the answer 54 and 36. Now look into the diagram. Consider the triangle PST. 
In it <S=54,<T=90,<P=180-(54+36) i.e;<P=36.
The question is to find <TPQ. It is equal to 90-36=54
  You just have to concentrate in your diagram and you'll  surely get the answer

Answer 2

Answer:

54

Step-by-step explanation:

We know that

all the angle of a rectangle is 90degree .

In this question the angle S in the ratio 2:3 .

Let the angle be x; 2x+3x = 90degree (all the angle of rectangle is 90) .you'll get the answer 54and 36. Now look into the diagram . consider the triangle PST.

In it angle S= 54, angle T= 90, angle P= 180degree-(54+36) I.e. angle P=36.

The question is saying to find angle TPQ. It is equal to 90-36=54.

I HOPE THIS IS HELPFUL FOR YOU AND ALL