Question

AB 11 CD. EF 1 CD and GED-140" as per the figure given below. Find the value of <AGE, <GEF and <EGF.​

Answer 1

Answer:

Step-by-step explanation:

Given,

AB∥CD, EF⊥CD, ∠GED=126  

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According to the question,  

∠FED=90  

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(EF⊥CD)

Now,  

∠AGE=∠GED (Since, AB∥CD and GE is transversal. Alternate interior angles.)

∴∠AGE=126  

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Also,  

∠GEF=∠GED−∠FED

⇒∠GEF=126  

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−90  

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⇒∠GEF=36  

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Now,  

∠FGE+∠AGE=180  

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 (Linear pair)

⇒∠FGE=180  

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−126  

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⇒∠FGE=54