Question

In figure, if AB//CF, CD//FE , then find the value of x

Answer 1

Answer: 105 degrees

Step-by-step explanation:

=======================================•Angle= angle bcf = 40 degrees (alternative interior angles as ab is parallel to cf and BC is the transversally)

•Angle fcd + angle fcb + angle bca = 180 degrees (linear pair)

•Angle fcd + 40 degrees + 65 degrees = 180 degrees

•Angle fcd = 180 - (40 + 65) degrees

•Angle fcd = 180 - 105 degrees

•Angle fcd = 75 degrees

•Angle fcd + angle x = 180 degrees (cointerior angles as EF is parallel to CD )

•75 degrees + angle x = 180 degrees

•Angle x = 180 - 75 degrees

•Angle x = 105 degrees

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Hope it would help you