In the diagram, PQT is a straight line and SQ // RT. (a) Join QR and show that : (i) < RPS = < QRT ; (ii) < PRS = < QTR. (b) ABC is a triangle. The sides AB...

In the diagram, PQT is a straight line and SQ // RT.

(a) Join QR and show that : (i) < RPS = < QRT ; (ii) < PRS = < QTR.

(b) ABC is a triangle. The sides AB and AC are produced to D and E respectively such that < DBC = 132° and < ECD = 96°. Show that \(\Delta\) ABC is isosceles.