If below fig. if AB ∥ CD and CD ∥ EF, find ∠ACE.
Question:

If below fig. if AB ∥ CD and CD ∥ EF, find ∠ACE..

Solution:

Since EF ∥ CD

Therefore, EFC + ECD = 180    [co-interior angles are supplementary]

⟹ ECD = 180 – 130 = 50

Also BA ∥ CD

 ⟹ BAC = ACD = 70          [alternative angles]

But, ACE + ECD = 70

⟹ ACE = 70 – 50 = 20

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