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In the figure, square PQRS is cyclic sid...

In the figure, `square PQRS` is cyclic side PQ `cong` RQ, `/_PSR=110^(@)`, Find
m(arc QR)

Text Solution

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The correct Answer is:
`110^(@)`
Chord PQ `cong` chord QR`" ""………"(" Given ")`
`:. Arc PQ cong arc QR" ""……."(" Arcs corresponding to congruent chords ")`
Let m(arc PQ)= m (arc QR)=x
m(arc PQ)+ m (arc QR)= m (arc PQR)`" ""…….."(" Arc addition postulate ")`
`:. x+x=220`
`:. 2x=220`
`:.x=(220)/(2)`
`:.x=110^(@)`
`:.m(arc QR)=110^(@)" and " m (arc PQ)=110^(@)`
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