1.

In a given figure AB and EF are parallel to each other.prove that CDEF is a Cyclic quadrilateral​​

Answer»

ANSWER:

CDEFisacyclicquadrilateral.

∠FED=80

o

(GIVEN)

∠FED+∠FCD=180

o

...(sumofoppositeanglesofcyclicquadrilateralis180

o

)

⇒FCD=180

o

−80

o

=100

o

.

SinceAB∥CD,

⇒ABCDisaparallelogram.

∠ABC+∠BCD=180

o

...(Adjacentanglesofparallelogram.aresupplementary)

∠BCD=∠FCD=100

o

⇒∠ABC=180

o

−100

o

=80

o

∠ABC=∠FBA=80

o

.

HENCE,optionCiscorrect.


Discussion

No Comment Found

Related InterviewSolutions