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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.
