Question

help..show that AB||EF

Answer 1

Angle ABC = Angle BCD. They are alternate interior angles, and are equal. So AB parallel to CD. Angle ECD + Angle FEC =180.They are Co interior angles and sum is 180.So,EF parallel to CD. We know AB parallel to CD and EF parallel to CD which means AB parallel to EF.

Answer 2

In the figure ,
∠ABC = 65°
∠BCD = 32° + 33° = 65°

∴ ∠ABC = ∠BCD [Alternate Interior angles ]
∴ AB || CD ................................ (1)

∠ CEF = 148°
∠ DCE = 32°
∠ CEF + ∠ DCE = 180°
148° + 32° = 180° [ Interior angles on the same side of the transversal ]

∴ CD || EF ........................................(2)


From (1) and (2) ,

AB || EF



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