In ∆PQR; LP=30° PQ=PR Then find measurement of angleQ & angleR
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Step-by-step explanation:
a triangle = 180 degree
then 180- 30 = 150
half of 150 = 75 degrees
angleQ = 75 degrees
angleR = 75 degrees
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Answer:
We have,
According to given figure.
PQ=PR(giventhat)
QS=SR(Bydefinationofmidpoint)
PS=PS(Commonline)
Then,
ΔSPQ≅ΔSPR (BY congruency S.S.S.)
Hence, PS bisects ∠PQR by definition of angle bisector.
Step-by-step explanation:
Given that PQ=PR then ∠R=∠Q=x
∠P+∠Q+∠R=180°
x+x+40°
=180°
x=70°.
∠R=∠Q=70°.
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