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Q.

PQRS is a parallelogram such that ∠QPS=75°   and ∠RQS=60°  . Then find the measure of ∠QRS  .


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a

75°

b

45°

c

90°

d

70° 

answer is A.

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Detailed Solution

Given is a parallelogram such that ∠QPS=75°   and ∠RQS=60°  .
Question ImageWe know that the opposite angles of a parallelogram are equal and from the figure we can see that ∠SPQ   and ∠SRQ   are opposite angles.
So, ∠SPQ=∠QRS= 75 °  .
The measure of ∠QRS   is 75°.
Hence, option 1 is the correct choice.
 
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