in th given figure show tht AB is parallel to CD 


In the given figure, show that AB  CD  :

 

Dear student

HIF=EIG=45°  vertically opposite angles Now in EIGEGI+EIG+IEG=180°55°+45°+IEG=180°IEG=180°-55°+45°IEG=80° Now  HFJ+HFI=180°    linear pair100°+HFI=180°  HFI=80° Now clearly HFI=IEG=80° this means that alternate interior angles are equal Hence AB CD
Regards

  • 7
ok
  • -3
angle EIG =45 (VOA)
angle GEI =180-(55+45)(ASPOT)
               = 80
angle HFI   =180 -100(SA)
               =80
angle GEI = angle HFI
​       80 =80
 alternate interior angles so, AB//CD
 
  • 3
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