Question

Show that AB is parallel to EF (angle ACE=22°)
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Answer 1

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Step-by-step explanation:

In the figure ,

∠BAC = 57°

∠ACE=22°

∠ECD=35°

∠ACD = 22° +35 ° = 57°

∴ ∠BAC= ∠ACD [Alternate Interior angles ]

∴ AB || CD ................................ (1)

∠ CEF = 145°

∠ DCE = 35°

∠ CEF + ∠ DCE = 180°

145° + 35° = 180° [ Interior angles on the same side of the transversal ]

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

From (1) and (2) ,

AB || EF

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