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Q.

In the given figure, PQRSis a cyclic trapezium in which PQ∥SR. If ∠P = 82o, then which of the following is the value of ∠S?


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a

98o

b

108o

c

  100o

d

None of these 

answer is A.

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Detailed Solution

Given, PQRS is a cyclic trapezium with PQ∥SR,∠QPS=82o. Question ImagePQRS is a cyclic quadrilateral.
Then,
∠QPS+∠RSP=180o...[ Since the sum of co-interior angles =180o].
∴∠RSP=180o-∠QPS
∠RSP=180o-82o
∠RSP=98o. Hence, the measure of ∠S is 98o.
Therefore, option 1 is correct.
 
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