Question

9. In each of the following figures AB CD. Find the unknown angles, gwing reasons,

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Answer 1

Answer:

In 1st

On line AB BD ray stand and

Now ABD+x=180

ABD=100

So x=180-100(linear pair)

X=80

Two lines AB and EF

FYB=120 so y=120(vertically opp angel)

Y=120 and corresponding angle is also 120

And y+z=180(linear pair)

120+z=180

Z=180-120

Z=60

T=x=80(Alternatively interior angle)

In 2nd

T=120 (vertically opposite angle)

T=y=120(Alternatively interior angles)

In fig

Doh=50 and it's corresponding Bmh=50

X=Bmh=50(vertically opposite angle)

X+z=180(linear pair)

50+z=180

Z=180-50

Z=30