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Madhya Pradesh Police Exam Model Paper 6
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© examsnet.com
Question : 77
Total: 101
In the given figure. If PQ || RS, ∠QPT = 120° and ∠PTR = 15°, then ∠SRT is equal to:
130°
150°
135°
Validate
Solution:
GIVEN
:
PQ || RS, ∠QPT = 120° and ∠PTR = 15°
CALCULATION
:
Considering the given figure
Extend line SR that cuts PT at L,
Since, PQ || RS PQ || SL is also true.
So,
∠
Q
P
L
+
∠
P
L
R
=
180
°
∠
P
L
R
=
180
−
∠
Q
P
L
⇒
∠
P
L
R
=
180
°
–
120
°
=
60
°
Now,
∠PLR = ∠LRT + ∠LTR (External angle theorem)
⇒
∠
L
R
T
=
60
°
–
15
°
=
45
°
Now,
∠
S
R
T
+
∠
L
R
T
=
180
°
∴
∠
S
R
T
=
180
°
–
45
°
=
135
°
© examsnet.com
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