# NIELIT 2017 OCT Scientific Assistant A - Section A: 45

1 vote
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Count the number of convex pentagons in the adjoining figure.

1. $16$
2. $12$
3. $8$
4. $4$

edited

50 points 1 2 2
A convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than $180^o$.
The pentagons in the figure, are $ABDFH, CDFHB, EFHBD, GHBDF, ACDFG, CEFHA, EGHBC, GABDE, BDEGH, DFGAB, FHACD$ and $HBCEF$. Clearly, these are $12$ in number
618 points 1 9

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