GEOMETRY

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.r ..r c c ece c cr..ce
dr Pr 55. rm r r.r rr .r..r.r Prrrrr.rr.rr.r r.rr .r r.r r..
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crc hr:r. cmcrr5r:rh rm r .r
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c c 5r:r. c cr.r:r.
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crc .e.e cmcrm.e
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crc m.e cmcr.c.e
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c c .e.e c crh.e
dPr dPr rr mr
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q dr.rr Ð m rcr?
c c re.r r q c cre.r
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crc .7me cmcrm7e
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dr.rr..rrr.rs.r dDDrmr Ð r rcrecer Ð s drc
crc 7ee cmcre7e
h.er Ð mr rcr?
c c m7e c crmee

rm r r sr c c 7. c cr7c
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dd r dr .r
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Lines and Angles








1. In the given figure, If PQ  RS  QPT = (A) 160º (B) 155º
(C) 150º (D) 145º
115º and  PTR = 20º, then  SRT is equal
4. In the figure below, RT is drawn parallel to
to:
the line SQ. The value of x is:

S
P Q
Q
30º T
110º
R
T
115º 20º
P T xº
75º
60º
S
R
(A) 155º (B) 150º
(C) 135º (D) 95º
2. Two parallel lines are cut by a transversal (A) 85º (B) 45º
then which of the following are tren? (C) 120º (D) 75º
I. Pair of alternate interior angles are con- 5. In the given figure if EC  AB,  ECD =
gruent.
70º,  BDO = 20º, then  OBD is equal to :
II. Pair of corresponding angles are congru-
ent.
III. Pair of interior angles on the same side
E
of the transversal and supplementary. A
(A) I, II and III are true.
(B) I, III are true.
(C) I, II are true. 70º
O
(D) II, III are true. C D
20º
3. AB and CD are two parallel lines. The point
B are C are joined such that.  ABC = 65º, B
A line CE is drawn making angle of 35º with
the line CB. EF is drawn parallel to AB, as
show in figure then  CEF is equal to : (A) 70º (B) 60º
(C) 50º (D) 20º

A B 6. In the following figure  BOP = 2xº,  AOP
65º = 2yº. OC and OD are angle bisectors of
E
F  BOP and  AOP respectively. Find the
35º
value of  COD :
C D

P A G F
D C


B D
C
yº xº
yº xº
I H E
A O B



(A) 80º (B) 120º
(A) 75º (B) 90º
(C) 100º (D) 160º
(C) 100º (D) 120º
10. In the given figure,  a is greater than one
7. In the following figure find the value of
sixth of right angle, then:
 BOC :


C
C F

bº
aº
A B
40º 31º
O A O B
E D
(A) b > 165º (B) b < 165º
(C) b  165º (D) b  165º
(A) 101º (B) 149º
11. In the adjoining figure AE  CD and BC 
(C) 71º (D) 140º
ED, then find Y :
8. Find y. If xº = 36º, as per the given dia-
gram:



A I
A
B
100%
xº
2yº P Q
C 4yº B C
3xº
D yº
R S
D
(A) 36º (B) 16º
(C) 12º (D) 42º
9. In the given diagram AB  GH  DE and GF

BD  HI,  FGC = 80º. Find the value of (A) 60º (B) 80º
(C) 90º (D) 75º
 CHI :