What is the sum of the angles of 15 sided polygon?

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.

How do you find the interior angle of a polygon with 15 sides?

Explanation:

1. the sum of the interior angles of a polygon is.
2. where n is the number of sides of the polygon.
3. here n=15.
4. sum =180∘×13=2340∘
5. one interior angle =2340∘15=156∘

How many sides does a regular polygon if each exterior angle is 15?

24 sides
The polygon has 24 sides.

What is the angle measure of any interior angle in a regular polygon with 15 sides Round your answer to the nearest tenth?

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.

Is 15 an exterior angle of a regular polygon?

So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number of sides of the polygon. …

What polygon has an exterior angle of 15?

in Civil Engineering. Maths keeps one mentally active. Each exterior angle of a regular polygon = 15 deg. So the polygon has 360/15 = 24 sides.

How many diagonals does a 15 sided polygon have?

Therefore, there are 90 diagonals in a 15 sided polygon.

How do you find the angle of a regular pentagon?

So, the measure of the central angle of a regular pentagon is equal to 72 degrees. A pentagon has five sides….Angles in a Pentagon.

General Rule
Sum of Interior Angles of a polygon =	180 ×(n−2) degrees, where n is number of sides
Measure of each of the Angle (in a Regular Polygon) =	180 degrees ×(n−2) / n, where n is the number of sides/.

What is one angle in a regular pentagon?

108 degrees
The measure of one interior angle of a regular pentagon is 108 degrees.

What is the measure of each exterior angle of a regular polygon of 15 sides A 30 B 45 C 60 D 24?

So, Option (a) 30° is correct.

Is it possible for the exterior angles of a regular polygon to measure 15?

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

How do you find the interior angles of a 15-sided polygon?

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.

What is the sum of the exterior angles of a regular polygon?

The sum of the exterior angles of a regular polygon is 360∘ As each of the exterior angles are equal, Exterior angle = 360∘ 15 = 24∘

What is the sum of the exterior angles of a 15-gon?

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?

What are the angles through which you have turned a polygon?

The angles through which you have turned are the exterior angles of the 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.