Determine the number of pentagons in the given figure.

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Solution

The correct option is D 10
The figure may be labelled as follows :
In this case, six pentagons have been formed by the combination of three triangles and two rhombuses - ADFHJ, CFHJL, EHJLB, GJLBD, ILBDF and KBDFH.
Four other pentagons are formed by the combination of three triangles and one rhombus LCFHM, LBEHM, BKFHM and BLlFM. Thus, there are 10 pentagons in the figure.

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