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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 ============================
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.
What regular polygon has a exterior angle of 24 degrees?
We know that the sum of the exterior angles of a regular polygon is 360°. Since the exterior angle is 24°, then 24°n = 360° divide both sides by 24°; n = 15 Thus a 15-sided regular polygon has an exterior angle of 24°. If you don't remember the above fact, you can work in this way: If the exterior angle is 24°, then the angle of polygon will be 156° (180 - 24). Since the sum of the angle of the polygon is equal to (n - 2)180°, then we have: 156° n = (n - 2)180° 156° n = 180°n - 360° subtract 156°n and add 360° to both sides; 360° = 24°n divide by 24° to both sides; 15 = n
What is the measure if each interior angle of a regular polygon with 15 sides?
Two ways to calculate the required angle. 1) Use the formula S = 2n - 4 right angles S is the sum of the interior angles of a polygon, n is the number of sides. Then, S = (2 x 15) - 4 = 26 right angles = 26 x 90 = 2340° So, each interior angle of a regular 15-sided polygon measures 2340/15 = 156° 2) Calculate the exterior angle and subtract from 180° to obtain the interior angle. Sum of exterior angles = 360° Each exterior angle measures, 360/15 = 24° Each interior angle measures, 180 - 24 = 156°
How many sides does a regular polygon have if the measures of each exterior angle is equal to 24 degrees?
15
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
What is the measure of an exterior angle of a regular 15-gon?
The exterior angle of an n-sided polygon is 360/n degrees. In this case n = 15 so angle is 24o
What is the measure of each angle of a regular 15-sided polygon?
Exterior angle: 24 degrees Interior angle: 156 degrees
What is the measure of each exterior angle of a 24 sided polygon?
to find the the exterior angle, divide 360 degrees by the number of sides. so the answer is 15 degrees.
How many sides does a regular polygon have if each exterior angle is 24 degrees?
Sum of exterior angles = 360 deg Number of exterior angles = 360/24 = 15 So it is a 15-sided polygon
What is the measure of each exterior angle of a regular 24-sided polygon?
It is: 360/24 = 15 degrees
What is the measure of each angle of a 15 sided polygon?
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
What is the sum of the exterior angle measures of a 15-sided polygon?
The exterior angles of a REGULAR 15-gon are 204o, so the sum would be 3060o. This remains true for non-regular 15-gons as well (the exterior angle sum, not the exterior angles).
What is the interior and exterior angle of a regular 15 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24
In what type of regular polygon is each interior angle equal to 165 degrees?
If interior angle is 165 then exterior must be 15.Exterior angles of regular n-sided polygon = 360/n.As 360/n = 15, n must be 24
What are the Size of exterior angles of a 15 sided polygon?
The exterior angles of any polygon add up to 360. 360/15 = 24
What is the the exterior angles of a 24 sided polygon?
The sum of the exterior angles of any polygon is always 360 degrees. Therefore, for a 24-sided polygon, each exterior angle would measure 360 degrees divided by 24, which equals 15 degrees.
