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In the adjoining figure, AB || CD. The value of x is: answer with explanation |
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Answer» -step EXPLANATION:Given∠DCE=100 o &∠ABE=120 o LetusextendABsuchthatitmeetsCEatF&extendstillG.GivenAB∥CD,soAG∥CD.LetCEbethetransversal.Then∠DCE=∠GFE=100 o [CORRESPONDINGANGLES]∠ABE+∠EBF=180 o [Since∠ABFisastraightangle]⇒∠EBF=180−120=60 o ∠GFE+∠EFB=180 o [Since∠BFGisastraightangle]⇒∠EFB=180−100=80 o Nowin△BFE,∠EBF+∠EFB+∠FEB=180 o ⇒60+80+x o =180 o ⇒x o =180−140⇒x o =40 o |
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