# What is the measure of an interior angle of a nonagon 9 sides?

## What is the measure of an interior angle of a nonagon 9 sides?

140°
Nonagon

Regular enneagon (nonagon)
Schläfli symbol {9}
Coxeter diagram
Symmetry group Dihedral (D9), order 2×9
Internal angle (degrees) 140°

What is the formula of interior angle?

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

What is the interior angle of a 9 sided polygon?

140 °
Excellent! So the interior angle of a 9 -sided polygon is 140 ° .

### What is the measure of the supplementary angle of an interior angle?

180 degrees
What is the measure of the supplementary angle of an interior angle of a regular polygon? Two angles are said to be supplementary angles if they add up to 180 degrees. The supplementary angle to any angle is 180 degrees minus that angle.

How many interior angles does a heptagon have?

seven interior angles
A heptagon is the word we use to identify a polygon with seven interior angles. Every heptagon has seven angles, seven sides, and seven vertices…

How do you calculate angle?

For the exact angle, measure the horizontal run of the roof and its vertical rise. Divide the horizontal measurement by the vertical measurement, which gives you the tangent of the angle you want. Use a trigonometry table to find the angle.

#### What is the formula of interior angles?

What is the interior angle of a 5 sided polygon?

540°
In geometry, a pentagon (from the Greek πέντε pente meaning five and γωνία gonia meaning angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.

What is a supplementary angle example?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

## What is the sum of the measure of the two angles if they are supplementary?

A and ( Another Angle ) Since they are supplementary, they add up to 180 degrees.

What do the interior angles of a nonagon add up to?

A regular nonagon has 9 sides and so 9 exterior angles all of which are equal to 360/9 = 40 degrees. The interior angle = 180 – 40 = 140 degrees.

What is the formula for the sum of the interior angles?

Set up the formula for finding the sum of the interior angles. The formula is sum=(n−2)×180{\\displaystyle sum=(n-2)\imes 180}, where sum{\\displaystyle sum} is the sum of the interior angles of the polygon, and n{\\displaystyle n} equals the number of sides in the polygon.

### What is the size of an exterior angle of nonagon?

Angles of a regular nonagon Since each of the nine interior angles in a regular nonagon are equal in measure, each interior angle measures 1260° ÷ 9 = 140°, as shown below. Each exterior angle of a regular nonagon has an equal measure of 40° . Symmetry in a regular nonagon

What are examples of interior angles?

Interior Angle. An angle on the interior of a plane figure. Examples: The angles labeled 1, 2, 3, 4, and 5 in the pentagon below are all interior angles.