Question: The sum of the measure of the interior angles of a polygon is 1080°. What polygon is it?

Which polygon has an interior angle sum of 1080 a polygon has 8 sides a polygon has 10 sides a polygon has 9 sides a polygon has 7 sides?

The General Rule

Shape Sides Sum of Interior Angles
Octagon 8 1080 °
Nonagon 9 1260°
..
Any Polygon n (n−2) × 180°

What is the sum of the interior angle measures of this polygon?

(n-2)x 180 degrees: The formula for finding the sum of all angles in a polygon (REGULAR). Here “n” represents the number of sides of the polygon.

What is the formula to find the sum of the interior angles of a polygon with n sides?

Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.

Is there a polygon with an interior angle sum of 9000?

32) Is there a regular polygon with an interior angle sum of 9000 °? Yes, regular 52-gon.

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

What is the sum of interior angles of a 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.

What is the sum of the measures of the interior angles of a 13 sided polygon?

Question 130236: What is the sum of the measures of the interior anles of a convex 13-gon? There is a formula the sum of the measures of the interior angles of a convex n-gon is (n-2)180 degrees. For a triangle, n=3, so it’s (1)180=180 degrees.

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What is the sum of polygon?

Univ. The sum of the angles in any polygon is equal to the number of sides in the polygon minus two, all multiplied by 180 degrees.

How many sides does a polygon have if the sum of the interior angles is 720?

Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5= 6 sides.

What is the sum of the interior angles of a 19 sided polygon?

Regular Polygons

Sides Name Interior Angles
17 Heptdecagon 158.82°
18 Octdecagon 160.00°
19 Enneadecagon 161.05°
20 Icosagon 162.00°

What is the sum of the interior angles of a polygon that has 21 sides?

Alvin L. The interior angle of a regular 21 -gon is around 162.86∘.

What are alternate interior angles equal to?

Alternate interior angles are angles formed when two parallel or non-parallel lines are intersected by a transversal. Alternate interior angles are equal if the lines intersected by the transversal are parallel.

What is the sum of the measures of the interior angles of a 25 Gon?

Thus,4140° is the answer.

What are polygons and angles?

A polygon is a closed figure whose sides are line segments that intersect only at their endpoints. In a regular polygon, all the angles have the same measure, and all the sides have the same length. Polygons can be identified by the number of their sides.

What is the sum of the measures of the interior angles of a convex 17 Gon?

The sum of the interior angles of a 17-sided convex polygon is 2700°, and the sum of the exterior angles is 360°.

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