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Q: What polygon does the sum of the measures of interior angles equal the sum of the measures of the exterior angles?

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1 a circle 360 interior angles 360 exterior agles

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

That's true of any polygon with four sides.

If you multiply 360 by the number of angles in the polygon and then subtract the sum of all the interior angles you will end up with the sum of all the exterior angles of the polygon.

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

360

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

540 degrees

The total of the interior angles equal 5040, and each angle measures 168 degrees The total of the exterior angles equal 360, and each angle measures 12 degrees

180

360 degees

540 degrees

1260 degrees

The shape is a triangle.

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.

The 3 interior angles of this equilateral triangle will add up to 180 degrees

The interior angles add up to 360 degrees.

180 degrees

30 degrees

What is the sum of the measures of the exterior angles of a regular polygon with ten sides

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

The exterior and interior angles of each vertex of a polygon add up to 180 degrees.

1800 degrees in total

The sum of the measures of the exterior angles of an octagon (and any polygon) is 360o.

A Regular Polygon