Math, asked by sabitha47, 5 months ago

Find the value of in the adjoining figure if AB ∥ CD.​

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Answered by Anonymous
3

Answer:Given∠DCE=100  

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&∠ABE=120  

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LetusextendABsuchthatitmeetsCEatF&extendstillG.

GivenAB∥CD,soAG∥CD.LetCEbethetransversal.

Then∠DCE=∠GFE=100  

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[Correspondingangles]

∠ABE+∠EBF=180  

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[Since∠ABFisastraightangle]

⇒∠EBF=180−120=60  

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∠GFE+∠EFB=180  

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[Since∠BFGisastraightangle]

⇒∠EFB=180−100=80  

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Nowin△BFE,

∠EBF+∠EFB+∠FEB=180  

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⇒60+80+x  

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=180  

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⇒x  

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=180−140

⇒x  

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=40  

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Step-by-step explanation:

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