Question

PQRS is a square and SRT in an equilateral triangle .Prove that
(1)PT=QT
(2) angle TQR =15°

Answer 1

I can find only 1....
In triangle pts and triangle qtr....
ps=rq(square's sides are equal)
angle pst=angle qrt(square's 90 degree+equilateral triangle's 60 degtee equals to 150 degree on both triangles)
ts=tr(equilateral triangle's sides are equal)
By S.A.S. congruency rule....
Triangle pts congruent triangle qtr...
So,
By CPCT....
PT=QT.....