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Question

From the given figure :

Find the sum of x, y and z.

A
180
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B
70
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C
80
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D
190
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Solution

The correct option is D 190

From the figure BE is parallel to DC

EBC+z=(180) (Co interior angles)

70 +z=(180)

z=(18070) =110

ABE=z=110 (corresponding angles)

x=ABDABE

=150 110 =40

Since AE || BD, y = x as they are alternate angles.

y=40

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


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