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What is the measure of each of the interior angles of a 15 gon?
Providing that it's a regular polygon then each interior angle measures 156 degrees
How do you find the interior angles of a 15-gon?
If the 15-gon is a regular polygon, then: Sum of the interior angles = 180°(n - 2) = 180°(15 - 2) = 2,340° Each interior angle = 2340° ÷15 = 156°
How do you find the measure of an interior and exterior angle of a 15-gon?
Example: a regular 15-gon The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 13 = 2340 There are fifteen angles. 2340/15 = 156 An interior angle of a regular 15-gon is 156 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 156 = 24. The exterior angles of any polygon add up to 360. 360/15 = 24
What is the sum of an interior angle measure of a 15-gon?
Assuming that this is a regular pentadecagon, the 360° of the exterior offset angles are spread evenly, so are 24° each. This means the interior angles are 180-24=156°
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 ============================
