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Page 29 - CT&AI_CLasa_7_Part_1
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    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

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