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Question

From the figure given, find the sum of x, y and z in degrees.

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  1. 190

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Solution

The correct option is A 190
From the figure BE||DC
EBC+z=180°(Co interior angles)

70+z=180°z=(18070)°=110°ABE=z=110°(Corresponding angles)
x=150ABE=150z=150110=40

Since AEBD,y=x as they are alternate angles. y=40

The required sum =x+y+z=40+40+110=190

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