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UPSC CDS Math Lines and Angles Questions
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© examsnet.com
Question : 9
Total: 16
In the figure given below, PQ is parallel to RS and PR is parallel to QS. If ∠LPR = 35° and ∠UST = 70°, then what is ∠MPQ equal to ?
[2017 CDS-I]
55°
70°
75°
80°
Validate
Solution:
PQ || RS and PR || QS,
Therefore, PQRS is a parallelogram.
∠QSR = ∠UST = 70° (Vertically opposite angles)
Now,∠RPQ = ∠QSR = 70°
Remember:
Opposite angles of a parallelogram are equal.
∠LPR + ∠RPQ + ∠MPQ =180° (Linear pair of angles)
⇒
35
°
+
70
°
+
∠
M
P
Q
=
180
°
⇒
∠
M
P
Q
=
180
°
−
105
°
=
75
°
© examsnet.com
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