Question

in this figure A,.B, C & D,E,F, are two sets of collinear points. prove that ad ll cf

Answer 1

In this figure, ABED is a cyclic quad. therefore  $\angle A$ =$\angle BED$ ( as opposite angles of a cyclic quad. are supplementary) ...
BCFE is also a cyclic Quad. so$\angle C = \angle BEF$ for the same reason!
when we add these angles ...
$\angle A + \angle BED +\angle C + \angle BEF= 360 degree$ ..1
angle bed + angle bed = 190 degree as they form a linear pair..
so equation 1 becomes
[tex]\angle A + \angle C=180 degree [/tex]
 but they are co interior angles and if co interior angles sum up to 180 degrees they are parallel... so ab is parallel to cf!

Answer 2

Answer:

here's a sample

Step-by-step explanation:

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