Question

In the ashacent figure ab CD find the values of x, y and x

Answer 1

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In the adjacent figure AB || CD. Find the values of x, y and z.

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Solution

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∠AEP+∠PEC+∠BEC=180

∘

(Supplementary angles)

x

∘

+70

∘

+x

∘

=180

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2x

∘

=180

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−70

∘

=110

∘

x=

2

110

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=55

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∠CEB+∠ECD=180

∘

(Angles made on same side of parallel lines )

x+z=180

∘

55

∘

+z=180

∘

z=180

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−55

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=125

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∠APE+∠PEA+∠PAE=180

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y+x+90

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=180

∘

y+55

∘

+90

∘

=180

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y+145

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=180

∘

y=180

∘

−145

∘

=35

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