What shape has an interior of 1080?

What shape has an interior of 1080?

octagon An octagon is an 8 sided polygon with interior angles that add to 1080 degrees.

What is the name of the polygon whose sum of the interior angles is 1080 use N 2 180?

an octagon If we are given a convex polygon with n sides and S is the sum of the measures of the interior angles then S = 180(n – 2). Find the sum of the measures of the interior angles in an octagon. Hence the sum of the measures of the interior angles in an octagon is 1080°.

How many sides have a polygon with sum of the angle 1080?

8 sides 1080° = 180(p – 2). 1080° / 180 = (p – 2). 6 = (p – 2). Hence, the polygon that has 8 sides is called an octagon.

What is the sum of 8 of the interior angles of a regular dodecagon?

Therefore, the sum of interior angles of a dodecagon is equal to 1800°.

How many sides does a 1980 degree polygon have?

Hence, the polygon has 13 sides.

What is the sum of a 8 sided polygon?

In geometry, an octagon is a polygon that has 8 sides and 8 angles. All the sides are joined end to end to form the shape of the octagon. The sum of the interior angles of an octagon is equal to 1080 degrees.

What is the sum of octagon?

1080 degrees The sum of the interior angles of an octagon is equal to 1080 degrees.

What is the sides of 1080?

The sides of a polygon if the sum of the interior is 1080° is 8.

What is the sum of angles of a polygon with one side less 1080?

Answer: The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. … Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in the polygon has a measure of 1080/8 = 135 degrees.

What is the interior angle of a 8 sided shape?

Solution: A regular octagon has eight sides and eight angles. A regular octagon has all its interior angles equal in measure. Therefore, measure of each interior angle = 1080°/8 = 135°.

What is polygon dodecagon?

A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.

What polygon has the sum of 1980?

Hence, the polygon has 13 sides.

How many sides does a 5400 degree polygon have?

Hence, the polygon has 32 sides.

What is the interior angle of a 8 sided polygon?

1080° Sum of Interior Angles of a Polygon

Polygon Name Number of Interior Angles Sum of Interior Angles = (n-2) x 180°
Septagon 7 900°
Octagon 8 1080°
Nonagon 9 1260°
Decagon 10 1440°

What is the sum of a 7 sided polygon?

Summary: The sum of the measures of the interior angles of a regular heptagon is 900 degrees.

What is the sum of nonagon?

1260° The sum of angles of a nonagon is 1260°. A nonagon has 9 exterior angles.

What is the angle of a octagon?

A regular octagon will have all its sides equal in length. Each interior angle of a regular octagon is equal to 135°. Therefore, the measure of exterior angle becomes 180° – 135° = 45°. The sum of the interior angles of the octagon is 135 × 8 = 1080°.

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 polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.

What is the interior angle of a 12 sided polygon?

150° Properties of a Dodecagon Each interior angle is equal to 150° and each exterior angle is equal to 30°. Interior angles: The sum of interior angles of a twelve-sided polygon (dodecagon) is = (12 – 2) x 180° = 1800°.

What is a 100 sided polygon?

hectogon A 100-sided polygon is called a hectogon, centagon or 100-gon.

What is the sum of 9 of the interior angles of a regular decagon?

Sum of Interior Angles of a Polygon

Polygon Name Number of Interior Angles Sum of Interior Angles = (n-2) x 180°
Septagon 7 900°
Octagon 8 1080°
Nonagon 9 1260°
Decagon 10 1440°

How many sides has a polygon the sum of whose interior angles is 1980?

13 Hence, the number of sides in a polygon, having the sum of interior angles (1980^circ ), is 13.

What polygon has 540 degrees?

Pentagon The General Rule

Shape Sides Sum of Interior Angles
Quadrilateral 4 360°
Pentagon 5 540°
Hexagon 6 720°
Heptagon (or Septagon) 7 900°

Which angle sum is 540?

pentagon The second set will make a pentagon because a pentagon always has a sum of 540 degrees for its interior angles.

What is the sum of decagon?

1,440 The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.

What is the interior angle of a decagon?

144°Decagon / Internal angle

What is the total interior angle of a nonagon?

1260° Each angle of a regular nonagon is of 140°. A nonagon in which all sides are not equal and all angles are not equal. The measure of its angles are different but total sum of all its interior angles is always 1260°.

What is the interior angle of a 14 sided polygon?

The measure of each interior angle of a regular polygon with 14 sides is about 154.3.

What is the interior angle of a 11 sided polygon?

147.273° In geometry, a hendecagon (also undecagon or endecagon) or 11-gon is an eleven-sided polygon….Hendecagon.

Regular hendecagon
Symmetry group Dihedral (D11), order 2×11
Internal angle (degrees) 147.273°
Properties Convex, cyclic, equilateral, isogonal, isotoxal

What is a 1000000000000000 sided shape called?

Chiliagon

Regular chiliagon
A regular chiliagon
Type Regular polygon
Edges and vertices 1000
Schläfli symbol {1000}, t{500}, tt{250}, ttt{125}