540 degrees in a pentagon.................5 + 4 + 0 = 9...............

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.

Cool math .com - Polygons - Pentagons - properties, interior angles

www.coolmath.com/reference/polygons-05-pentagons

Feedback

About this result

People also ask

How do you know how many degrees are in a polygon?

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

BBC Bitesize - GCSE Maths - Angles, lines and polygons - Revision 6

www.bbc.co.uk/education/guides/z9fg4wx/revision/6

Search for: How do you know how many degrees are in a polygon?

How do you find out how many degrees are in a polygon?

Here's a pentagon, a 5-sided polygon. From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees.

Polygons - Polygon basics - In Depth - Math.com

www.math.com/school/subject3/lessons/S3U2L1DP.html

Search for: How do you find out how many degrees are in a polygon?

What is the exterior angle of a regular pentagon?

360°

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. The measure of each interior angle of an equiangular n-gon is. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Interior and Exterior Angles of a Polygon - dummies

www.dummies.com/education/math/.../interior-and-exterior-angles-of-a-polygon/

Search for: What is the exterior angle of a regular pentagon?

What is the sum of the interior angles of a regular pentagon?

The sum of the interior angles of the pentagon is the sum of the interior angles of the three triangles. The sum of the interior angles of a triangle is 180^o so the sum of the interior angles of the pentagon is 3 times 180^o which is 540^o.

Sum of the angles in a pentagon - Math Central

mathcentral.uregina.ca/qq/database/qq.09.03/ashish1.html

Search for: What is the sum of the interior angles of a regular pentagon?

Feedback

Cool math .com - Polygons - Pentagons - properties, interior angles

www.coolmath.com/reference/polygons-05-pentagons

1. Cached
2. Similar

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.