answersLogoWhite

0


Best Answer

For any pentagon the sum of the internal angles is 540.

To calculate this, draw the pentagon and split it into triangles by drawing lines from one corner to the other corners, which should produce 3 triangles.

The sum of internal angles of a triangle is 180, therefore, multiplying the amount of triangles by the internal angles of a triangle gives the total internal angle.

Therefore, for a pentagon, 3 triangles * 180 = 540.

This method can be done for any polygon.

EDIT: This is an absolutely BRILLIANT answer ! It's well-structured, precise and accurate - an excellent example of how to answer a question ! I wanted to award a well-deserved trust-point, but couldn't because it came from an anonymous web-site. Whoever wrote this should take pride in their effort - and register so their future contributions can be properly rewarded ! Snakester1962 (Supervisor)

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the sum of the measures of the interior angles of this regular pentagon?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the sum of the measures of interior angles of this regular pentagon?

540 degrees


What is the measure of the interior angles of the regular petagono?

If you mean a regular pentagon then each of its 5 interior angles measures 108 degrees


What is the sum of the measures of the interior angles of a regular polygon if the exterior angles are 72?

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


What is the SUM of angle measures of a regular pentagon?

The sum of the five interior angles of ANY pentagon is 540 degrees.If the pentagon is regular, then each angle is 108 degrees.


What is the interior angle of a pentagon?

The measurement of an interior angle of a pentagon depends on whether the pentagon is a "regular pentagon". The sum of the measures of the interior angles of any polygon can be calculated using the formula (n-2)180, where n = the number of sides. If the pentagon is a regular pentagon, then all of the interior angles are congruent (i.e. : 144 degrees). Interior angle is the inside angle of any angular object. A triangle for instance has three outside angles and three interior angles, the angles of the points from the inside.


What is the measure of the interior angles of a regular polygon if each exterior angle measures 72 degrees?

It is a 5 sided regular pentagon and each interior angle measures 108 degrees


A regular pentagon has how many angles?

Every pentagon, regular or not, has five interior angles and five exterior angles.


What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?

It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon


Why are the interior angles of a pentagon not equal to 180?

Because , for a regular pentagon, the sum of the interior angles of a pentagon = (5-2)*180 = 540 degrees.


Does a pentagon have obtuse angles?

Yes a regular pentagon has five interior angles of 108 degrees


What is a pentagon with one interior angle that measures 200o is a polygon?

Yes, a pentagon is a polygon, whatever the measures of its angles.


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

540o