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Question
In parallelogram ABCD, AP, DP, BR and CR are the bisectors of their respective angles.
If ∠SPQ=90°, then the value of ∠ASB is
In parallelogram ABCD, AP, DP, BR and CR are the bisectors of their respective angles.If ∠SPQ=90°, then the value of ∠ASB is
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Solution
The correct option is B 90°
Given figure,
Since AP, DP, BR and CR are the bisectors of their respective angles,
PQRS is a rectangle,
Hence,
∠SPQ=∠RSP=∠PQR=∠QRS=90°
∠PSR and ∠ASB are vertically opposite angles,
∠ASB=∠PSR=90°
Hence, the value of ∠ASB is 90°.
Given figure,
Since AP, DP, BR and CR are the bisectors of their respective angles,
PQRS is a rectangle,
Hence,
∠SPQ=∠RSP=∠PQR=∠QRS=90°
∠PSR and ∠ASB are vertically opposite angles,
∠ASB=∠PSR=90°
Hence, the value of ∠ASB is 90°.
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