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How many pairs of parallel lines are there in a regular pentagon?

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How many pairs of parallel lines are there in a regular pentagon?

(a) 0

(b) 1

(c) 2

(d) 5

This question was addressed to me in an international level competition.

My enquiry is from Drawing Regular Polygons & Simple Curves in section Geometrical Construction of Engineering Drawing

1 Answer

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Best answer
The correct option is (a) 0

Explanation: Pentagon is a closed figure which has five sides, five corners. Given is regular pentagon which means it has equal interior angles and equal side lengths. Since five is odd number so, there exists angles 36o, 72o, 108o, 144o, 180o with sides to horizontal.

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