zeenie wrote:

Hi

I could try to explain this one

Let the angle PTR=a------ (!)

so,PRT=(90-a)right?-------(1)

Now,in triangle RQS

since QR=RS

This means angle RQS=angleRSQ right?-------(2)

sum of angles of a triangle=180

Using (1)and (2) RSQ=RQS=(180-(90-a))/2 =(90+a)/2 ------(3)

Similarly for triangle UST

UTS=PTR=a (from(!))

The other two angles of this triange would be (180-a)/2-----(4)

Using 3 and 4 and property of a straight line(sum=180)

(90+a)/2 + x + (180-a)/2 = 180

x=45 degrees

Hope that helps.

I wanted todraw a figure and show you. But I couldnt

Apologies !

Cheers !!

I forgot to mention.The above solution is reached after using both A and B

Hence (C)is the answer