185k views
5 votes
What is the sum of the interior angles of a regular polygon with 5 sides?

A. 1080°
B. 900°
C. 720°
D. 540°

User Gauranga
by
7.5k points

2 Answers

0 votes

Answer:

the answer is 540 degree

Step-by-step explanation:

To find the interior angle sum of a polygon, we can use a formula: interior angle sum = (n - 2) x 180°, where n is the number of sides. For example, a pentagon has 5 sides, so its interior angle sum is (5 - 2) x 180° = 3 x 180° = 540°.

User Stephenbayer
by
7.3k points
4 votes

Final answer:

The sum of the interior angles of a regular polygon with 5 sides is 540°.

Step-by-step explanation:

The sum of the interior angles of a regular polygon can be found using the formula (n-2) * 180°, where n is the number of sides of the polygon.

For a regular polygon with 5 sides, n=5. Using the formula, we have (5-2) * 180° = 3 * 180° = 540°.

Therefore, the sum of the interior angles of a regular polygon with 5 sides is 540° (option D).

User PYPL
by
7.2k points