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5. Lines and Angles
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Q92 of 113 Page 128

In Fig. 5.49, AB||CD, AF||ED, ∠AFC = 68° and ∠FED = 42°. Find ∠EFD.

∠FED = ∠AFE = 42° (Alternate interior angle)


∠AFC, ∠AFE and ∠EFD are supplementary


∠EFD = 1800-(680 + 420) = 700


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90

Iron rods a, b, c, d, e and f are making a design in a bridge as showing Fig. 5.47, in which a ||b, c ||d, e || f. Find the marked angles between


(i) b and c (ii) d and e


(iii) d and f (iv) c and f

91

Amisha makes a star with the help of line segments a, b, c, d, e and f, in which a || d,b || e and c || f. Chhaya marks an angle as 120° as shown in Fig. 5.48 and asks Amisha to find the ∠x, ∠y and ∠z. Help Amisha in finding the angles.

93

In Fig. 5.50, OB is perpendicular to OA and ∠BOC = 49°. Find ∠AOD.

94

Three lines AB, CD and EF intersect each other at O. If ∠AOE = 30° and ∠DOB = 40° (Fig. 5.51), find ∠COF.

Questions · 113
5. Lines and Angles
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