## PQRTS is a Pentagon. A line through T meets QR prouduced in U such that SR || UT. Show that ar(PSUQ)=ar(PQRTS)

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Answer
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## Text Version of the Answer is

Q -PQRTS is a pentagon A line Through t meels ar (PSUQ) = ar (PQRTS)

Q R U

X S T

In fig, ∆ STR and ∆ RTS are on the same base RS and between parallel lines RS ∥ VT (given)

∴ ar (∆ STR) = ar (∆ RTS) …….(1)

Now, ar (PSVQ) = ar (PSRQ) + ar (∆ STR)

= ar (PSRQ) + ar (∆RTS)

(From (1))

ar (PQRTS)

∴ ar (PSVQ) = ar (PQRTS)