Question
If figure, if AB || CD and CD || EF, find $\angle\text{ACE}.$
✓
Answer
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
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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