Show that AB is parallel to EF (angle ACE=22°)
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Hey there:)
hope this helps u!!
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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