Math, asked by nssjssjsshh, 11 months ago

Answer the given question.

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Answered by Anonymous

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Join B and E.

ABED is a cyclic quadrilateral.

ADE = EBC … (1)

(exterior angle of a cyclic quadrilateral = Interior opposite angle)

Similarly, EFCB is a cyclic quadrilateral.

EBC + CFE = 180 … (2)

(opposite angles of a cyclic quadrilateral are supplementary)

From (1) and (2),

ADE + CFE = 180

But these are interior angles made by the transversal DF on the same side of the lines AD and CF. Since, these angles are supplementary, therefore,

AD||CF

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Answered by Anonymous

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Join B and E

ABED is a cyclic quadrilateral

ADE=EBC-------1

(Exterior angle of a cyclic quadrilateral=interior angle)

EFCB is cyclic quadrilateral

EBC+CFE=180--------2

from 1 and 2

ADE +CFE=180

SO,

AD||CF

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