. Find the value of x in each of the following figures : A Р X 250 (iii) 120° X 30° R 550 B C С R A130 N110° X 160° x R (vi) 3r 2x 150° B C С B
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In figure, lines XY and MN intersect at O. If ∠POY=90
o
and a:b=2:3, find c.
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Correct option is C)
In the given figure,
∠POY=90
∘
∠POX+∠POY=180
∘
( Linear pair )
∠POX+90
∘
=180
∘
⇒∠POX=90
∘
a:b=2:3
Let a=2x
∘
and b=3x
∘
∠POX=a+b=5x
90
∘
=5x
⇒x=18
∘
∠MOX=b=3x=54
∘
∠MOX+∠NOX=180
∘
( Linear pair)
b+c=180
∘
54
∘
+c=180
∘
c=180
∘
−54
∘
=126
∘
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