Page 29 - CT&AI_CLasa_7_Part_1

5. In the given figure DE || BC, ∠BAD = (2x – 70°), 8. Each side of a square is divided into four equal
∠ACB = (x – 20°) and ∠FAG = (2x + 20°), then parts by marking points on it. Using these
the value of ∠EAC is (Abstract Thinking) points as endpoints, line segments are drawn
F G inside the square, such that each line segment

A is parallel to at least one side of the square.
D E
30° 30° What is the maximum number of squares
120°
that can be found in the resulting figure?
30°
B C
(Critical Thinking)
(a) 40°
(a) 26

(b) 25°
(b) 30
(c) 30°
(c) 25

(d) 35°
(d) 36
6. If CD and EF are straight lines intersecting at A
as shown in the figure, then x + y + z = . 9. Two lines intersect at point Q. One angle is
(3m + 10)° and its adjacent angle is (2m – 20)°.
(Analytical Thinking)
Which of the following is DEFINITELY true?
C F
y (Abstract Thinking)
z 62°
A 49° B (a) 4m – 6 = 3m + 32
3x

E D (b) m – 12 = 2m – 50
(a) 135° (c) 2m = 76

(b) 180°
(d) All of these
(c) 193° 10. In the given figure, PQ || RS. Find the value of

b – a. (Abstract Thinking)
(d) 203°
P
7. In the given figure, AC and PQ intersect each 65°
other at O. If ∠BOC = 90° and x is two-third of S
y, then z is equal to . a
70° b
(Analytical Thinking) Q R
B
P
y (a) 70°
x
A z O C
Q (b) 65°

(a) 36 ° (b) 54° (c) 10°

(c) 72° (d) 144° (d) 5°

Parallel and Intersecting Lines 27