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UPSC 2017 CDS I Math Paper
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© examsnet.com
Question : 93
Total: 100
In the figure given below, PQRS is a parallelogram. PA bisects angle P and SA bisects angle S. What is angle PAS equal to ?
[2017 CDS-I]
60°
75°
90°
100°
Validate
Solution:
PQRS is a parallelogram.
∴ ∠P + ∠S = 180°
Remember: Sum of adjacent interior angles is supplementary.
⇒
1
2
∠
P
+
1
2
∠
S
=
90
°
⇒
∠
A
P
S
+
∠
A
S
P
=
90
°
(
AP is the bisector of ∠P
AS is the bisector of ∠S
)
In ΔAPS
∠PAS + ∠APS +∠ASP = 180°
⇒
∠
P
A
S
=
180
°
−
90
°
=
90
°
© examsnet.com
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