Question

In the adjoining figure is an equilateral triangle.
QR is produced to S , such that QR=RS .Calculate ∠PRS and ∠PSR

Answer 1

Answer:

in ∆ PQR, QR = RS

so all angle is 60° in∆ PQR

<PRQ = 60°

<PRQ + <PRS = 180°

60° <PRS = 180°

< PRS = 120°

so in ∆ PSR, PR = RS

<PRS+ <RPS+<PSR = 180

so <RPS = < PSR= 60

<PSR = 30°