Q. 95.0( 1 Vote )

# In the given figure, AB || CD || EF. If ∠ABC = 85°, ∠BCE = x° and ∠CEF = 130°, then x = ?A. 30B. 25C. 35D. 15

According to question,

AB || EF

EF || CD (AB is produced to F, CF is traversal)

FEC=130o

Now, BFC + BFO = 180o(Sum of angles of Linear pair is 180o)

BFO = 180o – 130o = 50o

Now in triangle BOF, we have

ABO = BFO + BOF

85 = 50 + BOF

BOF = 85 – 50 =35o

So, x = o

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