Q91 of 113 Page 128

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.


Capture.JPG


∠A = 1200 (Vertically Opposite )


∠A + ∠ x = 1800 (Co-interior angle)


⇒ ∠x = 600


∠B + ∠ x = 1800 (Co-interior angle)


∠B = 1200


⇒ ∠y = 1200 (Vertically Opposite angle)


∠ z = ∠x = 600 (Alternate interior angle)


∠x = 600, ∠y = 1200, ∠z = 600


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