Question

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⊙ Angle PQR = Angle PRQ... Then prove that Angle PQS =. Angle PRT



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Answer 1

angle PQR+PQS= 180..... 1eq
angle PRQ+PRT=180.......2eq

from eq. 1 and 2
PQR+PQS=PRQ+PRT
but,
PQR=PRQ
2PQS=2PRT
therefore, angle PQS=angle PRT

proved!!!

Answer 2

PQR is isoceles triangle that have same angles and same length at line PQ & PR .

180°- PQS = PQR

180°- PRT = PRQ

If PQR and PRT is 60°, then PRT = PQS = 180°-60° = 120°