Question

. In the figure lines XY and MN intersect a 0. If POY = 90° and a:b = 2:3 find C.
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Answer 1

Answer:

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Answer 2

Answer:

In the given figure,

∠POY=90

∘

∠POX+∠POY=180

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( supplementary angles )

∠POX+90

∘

=180

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⇒∠POX=90

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a:b=2:3

Let a=2x

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and b=3x

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∠POX=a+b=5x

90

∘

=5x

⇒x=18

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∠MOX=b=3x=54

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∠MOX+∠NOX=180

∘

(supplementary angles )

b+c=180

∘

54

∘

+c=180

∘

c=180

∘

−54

∘

=126

∘