How many line segments are there in the given figure.

17

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20

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19

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18

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Solution

The correct option is A $17$
In given figure the line segments are

$¯ ¯¯¯¯¯¯ ¯ A B, ¯ ¯¯¯¯¯ ¯ A I, ¯ ¯¯¯¯¯¯ ¯ A G, ¯ ¯¯¯¯¯¯¯ ¯ A H ¯ ¯¯¯¯¯ ¯ B I, ¯ ¯¯¯¯¯¯ ¯ B G, ¯ ¯¯¯¯¯¯¯ ¯ B H, ¯ ¯¯¯¯¯ ¯ I G, ¯ ¯¯¯¯¯¯ ¯ I H, ¯ ¯¯¯¯¯¯¯ ¯ G H, ¯ ¯¯¯¯¯¯ ¯ B C, ¯ ¯¯¯¯¯¯¯ ¯ C D, ¯ ¯¯¯¯¯¯ ¯ C E, ¯ ¯¯¯¯¯¯¯ ¯ D E, ¯ ¯¯¯¯¯¯¯ ¯ E G, ¯ ¯¯¯¯¯¯¯ ¯ D F, ¯ ¯¯¯¯¯¯ ¯ B E$

$∴$ Totally we have $17$ line segments.

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