Study guides

☆☆

Q: If the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles how many sides does it have?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

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

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.

A 4 sided quadrilateral has interior angles that add up to 360 degrees and its exterior angles add up to 360 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

Related questions

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

A 4 sided quadrilateral has interior angles that add up to 360 degrees and its exterior angles add up to 360 degrees

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

People also asked