In Figure, side Q P\ a n d\ R Q of P Q ...

In Figure, side `Q P\ a n d\ R Q` of ` P Q R` are produced to point `S\ a n d\ T` respectively. If `/_S P R=135^0a n d\ /_P Q T=110^0,\ fin d\ /_P R Q`

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Since TR is a line
`/_ PQT + 2 PQR = 180^@` (Linear Pair)
`110^@ + PQR = 180^@`
`/_PQR = 180^@ - 110^@`
`/_ PQR = 70^@`
Since QS is a line
`/_ SPR + 4 QPR = 180^@`
`135^@ + /_QPR = 180^@`
` QPR = 180^@ - 135^@`
`/_ QPR = 45^@`.

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