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6. In the given figure, l || m and a line t intersects the lines l and m at P and Q respectively. Find the
sum 2a + b.
t
a P l

132° Q m
b

7. In the following figure, AB || CD. Find the value of x + y + z.

A B
y z

x x
C D
120°
8. In the given figure, AB || CD and EF is a transversal. Find ∠AGE and ∠GHD.

E
(2x + 4)°

A G B
(4x – 10)°
C H D
F

9. In the following figures, AB || CD. Find the value of x.

B D
E
x
(a) 100° (b) 105°
C D x
50° A C
A B
25°
E
10. In the following figures, AB || CD. Find x, y, z.

(a) B D (b) A C

Q
x 40°
z
90°
x y 30° P y
P A C Q z 50°
R
B D
(c) (d) C D
A C E
130° x
P
y x 30° z
Q 70° z R y 80°
B D A B F

161 Lines and Angles