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Q: What polygon that measures one interior angles of 162 degrees?

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The interior angles of a 17 sided polygon add up to 2700 degrees

If it's a regular polygon then each interior angle measures 120 degrees.

The interior angles of a 14 sided polygon add up to 2160 degrees.

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The interior angles add up to 1800 degrees

If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.

A 13 sided polygon interior angles add up to 1980 degrees

There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.

360 degrees.

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