Question

please answer this question

Answer 1

let angle pqt =tqr=x
and angle prt=trs=y
angle prq =180-2y
from triangle pqr angle qpr =2y-2x(as sum of angles in a triangle is 180)
from the triangle tqr angle qtr = y-x (as sum of angles in a triangle is 180)
hence angle qtr =qpr×1/2