In figure angle PQR PQ is equal to PR and Angle PRQ is equal to 60 degree find Angle QSR and angle QTR
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Step-by-step explanation:
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Step-by-step explanation:
given:In△PQR,Bisectors of ∠Q&∠R meet at point S.
ToProve:∠QSR=90
∘
+
2
1
∠P
Proof:Let∠PQR=∠Q;∠QRP=∠R;∠QPR=2P
In△PQR
∠P+∠Q+∠R=180
∘
(sum of angles of a triangle)
⟹∠Q+∠R=180−P−(1)
In△SQR
∠QSR+
2
∠Q
+
2
∠R
=180
∘
(sum of angles of a triangle)
2
∠Q+∠R
=180−∠QSR
from(1)
2
180−∠P
=180−∠QSR
⟹90−
2
∠P
=180−∠QSR
⟹∠QSR=90+
2
∠P
Hence,proved
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