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Q: How many sides does a regular polygon have if one of its interior angles measures 174?

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Each interior angle of the regular 5 sided polygon measures 108 degrees

It is a regular 20 sided polygon

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle

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

Each interior angle measures 108 degrees and the 5 angles of the regular pentagon add up to 540 degrees

Related questions

Each interior angle of the regular 5 sided polygon measures 108 degrees

Hint: in a regular polygon interior plus exterior = 180o, always.

It is a regular 20 sided polygon

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle

There is no regular polygon with an interior angle of 20o. If the interior angle is 120o then there are six sides and the sum of the angles is 720o.

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

Each interior angle measures 108 degrees and the 5 angles of the regular pentagon add up to 540 degrees

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360

A four-sided regular polygon (square or rectangle) has 900 interior angles.

The polygon will have 12 equal sides and each interior angle measures 150 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.

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