8. In the given figure, POR is an equilateral triangle Base OR is produced to E
such that OR = RE. Calculate PRE and <PER
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QRST is a square
Let side =a.
PQ=PR=QR=a
∠PRQ=60
∘
(△PQR is equilateral )
In △PRS
PR=PS
∠PSR=∠SPR
(angle opp. to equal sides are also equal)
=x
∠PRS=60+90=150
∘
x+x+150=180( sum of angle of △PRS)
2x=30
∘
x=15
∘
Let side =a.
PQ=PR=QR=a
∠PRQ=60
∘
(△PQR is equilateral )
In △PRS
PR=PS
∠PSR=∠SPR
(angle opp. to equal sides are also equal)
=x
∠PRS=60+90=150
∘
x+x+150=180( sum of angle of △PRS)
2x=30
∘
x=15
∘
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can't answer in text
so clicked a pic hope it helps you
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