Question

In the given figure, AB|| CD. Find the value of x. Also find the angles 1,2 and 3

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Answer 1

Answer:

x=130

Step-by-step explanation:

From E, draw EF || AB || CD. EF || CD and CE is the transversal.

∴∠DCE+∠CEF=180

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[∵ Co-interior angles]

⇒x

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+∠CEF=180

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⇒∠CEF=(180−x

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)

Again, EF || AB and AE is the transversal.

∠BAE+∠AEF=180

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[∵ Co-interior angles]

⇒105

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+∠AEC+∠CEF=180

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⇒105

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+25

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+(180

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−x

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)=180

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⇒310−x

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=180

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Hence, x=130

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