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Question -

In figure, threecoplanar lines intersect at a point O, forming angles as shown in the figure.Find the values of x, y, z and u .



Answer -

(BOD,z); (DOF, y) are pair of vertically opposite angles.

So, BOD = z= 900

DOF = y= 500

[Vertically oppositeangles are equal.]

Now, x + y + z = 180 [Linear pair] [AB is a straight line]

x + y + z = 180

x + 50 + 90 = 180

x = 180 – 140

x = 40

Hence values of x, y, z and u are 400, 500,900 and 400 respectively.

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