answersLogoWhite

0

There are 90 diagonals in a 15-sided polygon.

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
RossRoss
Every question is just a happy little opportunity.
Chat with Ross

Add your answer:

Earn +20 pts
Q: How many diagonals in a 15 sided polygon?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

How many triangles in a 15 sided polygon?

12


What is the measure in degrees of each central angle of a regular 15-sided polygon?

The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================


How many diagonals does a pentadecagon have using a formula?

Number of diagonals in a polygon with n sides is n*(n-3)/2 A pentadecagon has 15 sides, so n = 15 Number of diags = 15*12/2 = 90


What is the names of shapes with 13 to 20 sides?

Shapes with 13 to 20 sides are known as polygons. Specifically, a 13-sided polygon is called a tridecagon, a 14-sided polygon is called a tetrakaidecagon, a 15-sided polygon is called a pentadecagon, a 16-sided polygon is called a hexadecagon, a 17-sided polygon is called a heptadecagon, an 18-sided polygon is called an octadecagon, a 19-sided polygon is called an enneadecagon, and a 20-sided polygon is called an icosagon.


Work out the exterior and interior angles of a regular polygon with 15 sides?

The sum of the exterior angles of a polygon is 360o, so for a regular n-sided polygon, each is 360o/n. The interior and exterior angles of a polygon are supplementary, that is sum to 180o. For a regular 15 sided polygon: exterior_angle = 360o / 15 = 24o interior_angle = 180o - exterior_angle = 180o - 24o = 156o Alternatively: The sum of the interior angles of a n-sided polygon is (n-2) x 180o, so for a regular n-sided polygon each interior angle is (n-2) x 180o / n. For a 15 sided polygon: interior_angle = (15 - 2) x 180o / 15 = 13 x 12o = 156o exterior_angle = 180o - interior_angle = 180o - 156o = 24o.