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Question

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 the given figure and asks Amisha to find x,y and z. Help Amisha in finding the angles.

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Solution

From the given figure, we have
a=120 [vertically opposite angles]
Now, x+a=180 [cointerior angles]x+120=180x=180120=60

Again, x=1 [alternate interior angles]60=1
Also 1+y=18060+y=180 [linear pair]y=18060=120
Also, z+a=180 [cointerior angles]z+120=180z=180120=60

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