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Lines n Angles Quiz 3
Lines n Angles Quiz 2
Lines n Angles Quiz 1
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Hi
Directions: Study the following questions carefully and choose the right answer.
Important for :
CDSE
CGL Tier 2
CGLTier 1
Railways
SSC 10+2
1
In the given figure AB || CD, ∠A = 128°, ∠E = 144°. Then, ∠FCD is equal to :
A
72°
B
64°
C
136°
D
92°
» Explain it
Correct Option:
D
As per the given figure,
Through E draw EE’ || AB || CD.
Then, ∠AEE’ = 180° ‒ ∠BAE = (180° ‒ 128°) = 52°.
(Interior angles on the same side of the transversal are supplementary.)
Now, ∠E’EC = (144° ‒ 52°) = 92°.
∠FCD = ∠E’EC = 92° (Corr. ∠s).
Hence, option D is correct.
1
A
B
C
D
» Explain it
सही विकल्प :
D
D
2
In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PRS = 20°. If ∠TSR = θ, then the value of θ is :
A
75°
B
55°
C
65°
D
45°
» Explain it
Correct Option:
C
In the given figure,
PQ = QR and ∠PQR = 90° ⇒ ∠QPR = ∠QRP = 45°.
∴ ∠QRS = (45° + 20°) = 65°.
∴ θ = ∠QRS = 65° (alt. ∠s)
Hence, option C is correct.
2
A
B
C
D
» Explain it
सही विकल्प :
C
C
3
In the adjoining figure, ∠ABC = 100°, ∠EDC = 120° and AB || DE. Then, ∠BCD is equal to :
A
80°
B
60°
C
40°
D
20°
» Explain it
Correct Option:
C
In the given figure,
Produce AB to meet CD at F.
∠BFD = ∠EDF = 120° (alt. ∠s)
∠BFC = (180° ‒ 120°) = 60°.
∠CBF = (180° ‒ 100°) = 80°.
∴ ∠BCF = 180° ‒ (60° + 80°) = 40°.
Hence, option C is correct.
3
A
B
C
D
» Explain it
सही विकल्प :
C
C
4
In the given figure, AB || CD, ∠ABO = 40° and ∠CDO = 30°. If ∠DOB = x°, then the value of x is :
A
35°
B
110°
C
70°
D
140°
» Explain it
Correct Option:
C
In the given figure,
Through O draw EOF parallel to AB & so to CD.
∴ ∠BOF = ∠ABO = 40° (alt. ∠s)
Similarly, ∠FOD = ∠CDO = 30° (alt. ∠s)
∴ ∠BOD = (40° + 30°) = 70°.
So, x = 70°.
Hence, option C is correct.
4
A
B
C
D
» Explain it
सही विकल्प :
C
C
5
In the given figure, AB || CD, m∠ABF = 45° and m∠CFC = 110°. Then, m∠FDC is :
A
25°
B
45°
C
35°
D
30°
» Explain it
Correct Option:
A
As in the given figure,
∠FCD = ∠FBA = 45° (alt. ∠s)
∴ ∠FDC = 180° ‒ (110° + 45°) = 25°.
Hence, option A is correct.
5
A
B
C
D
» Explain it
सही विकल्प :
A
A
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