In the figure given below PQRS is a parallelogram PA bisects angle P and SA bisects angle S What is ...........

Quantitative Aptitude (CDS) Coordinate Geometry

In the figure given below, PQRS is a parallelogram. PA bisects angle P and SA bisects angle S. What is angle PAS equal to?

60^o

75^o

90^o

100^o

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Explanation:

$\small \angle$ P + $\small \angle$ S = 180^o ( sum of adjacent angels of a parallelogram)
$\small \angle$ P/2 + $\small \angle$ S/2 = 90^o ................(1)
$\small \angle$ P/2 + $\small \angle$ S/2 + $\small \angle$ A = 180^o ( Triangle law).............(2)
From 1 and 2
$\small \angle$ A = 180^o - 90^o = 90^o