What shape has exterior angles of 15?
What shape has exterior angles of 15?
Regular pentadecagon
Pentadecagon
Regular pentadecagon | |
---|---|
A regular pentadecagon | |
Type | Regular polygon |
Edges and vertices | 15 |
Schläfli symbol | {15} |
How many sides does a polygon have if each exterior angle is 15 degrees?
The polygon has 24 sides.
What is the exterior angle of 15 sides?
24
Exterior angle=24 for polygon of 15 sides.
Do exterior angles add up to 360?
The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. This is a result of the interior angles summing to 180(n-2) degrees and each exterior angle being, by definition, supplementary to its interior angle.
Is 15 an exterior angle of a regular polygon?
An exterior angle of a regular polygon is 15 degrees.
What is the measure of one outer angle of a 15 sided regular polygon?
Measure of each external angle is 24°.
What is the interior angle of a 15 sided polygon?
Since the polygon is regular, all sides and angles are equal, so each turn at each vertex is the same, and of size 360°15=24° degrees.
What will be the measure of exterior angle of a regular polygon of 15 sides * 36 degree 24 degree 48 degree 72 degree?
Internal and external angle are always supplementary. So sum of the internal and external angle is 180°. So external angle = 180° – 156° = 24°. Measure of each external angle is 24°.
What is the sum of the exterior angles in a regular 15-Gon?
What is the sum of the exterior angles in a regular 15-gon? The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.
What is the sum of exterior angles of a convex polygon with 15 sides?
What is the sum of the interior angles of a 15 sided polygon?
2340 degrees
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles.
How many sides does a regular polygon have if the measure of an exterior angle is 24?
15 sides
How many sides does a regular polygon have if the measure of an exterior angle is 24°? Thus, the regular polygon has 15 sides.