In figure, if AB || CD and CD || EF, find ∠ACE. – InterviewSolution

InterviewSolution

1.

In figure, if AB || CD and CD || EF, find ∠ACE.

Answer»

Given: CD || EF

∠FEC + ∠ECD = 180° [Sum of co-interior angles is supplementary to each other]

∠ECD = 180° – 130° = 50°

Also, BA || CD

∠BAC = ∠ACD = 70° [Alternative angles of parallel lines are equal]

But, ∠ACE + ∠ECD = 70°

∠ACE = 70° - 50° = 20°

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