# In the given figure, AB ||CD. Find the value of x.

Given AB||CD

Therefore, BAC + ACD = 180°

75° + ACD = 180°

ACD = 105°_________________ (i)

ACD = ECF = 105°[Opposite angles]

In triangle CEF,

CEF + EFC + FCE = 180°

x + 30° + 105° = 180°

x + 135° = 180°

x = 45°

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