1. Verify that \(\Delta PST \sim \Delta PQR\).
 
A_1.png
 
In \(\Delta PST\) and \(\Delta PQR\):
 
PSPQ=ii
 
PTPR=ii
 
PSPQ  PTPR
 
ΔPST  ΔPQR
 
 
2. Check whether the triangles are similar and determine the value of \(x\).
 
a_4.png
 
In \(\Delta ACB\) and \(\Delta PCQ\):
 
ABC=i
 
ACB=i
 
BAC=i
 
ΔACB  ΔPCQ
 
x=i