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Question

In figure A, B, C, and D, E, F are two sets of collinear points, Prove that AD CF. [2 MARKS]

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Solution

Concept: 1 Mark
Application: 1 Mark

In order to prove that AD CF, it is sufficient to prove that

1+3=180

Since ABED is a cyclic quadrilateral.

1+2=180 ....(i)

Now, BCFE is a cyclic quadrilateral and in a cyclic quadrilateral an exterior angle is equal to the opposite interior angle.

2=3 ....(ii)

From equations (i) and (ii), we get

1+3=180


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