# What is the sum of 6 of the interior angles of a regular octagon?

## What is the sum of 6 of the interior angles of a regular octagon?

1080 degrees
In this case, 6 x 180 = 1080; an octagon’s internal angles add up to 1080 degrees.

## What is the sum of interior angles in a octagon?

1080°Octagon / Sum of interior angles

How do you divide an octagon into 6 equal parts?

The sum of the interior angles of an octagon equals 1080°. As shown in the figure above, five diagonals can be drawn to divide the octagon into six triangles.

What is the sum of the interior angles and the sum of exterior angles of octagon?

The sum of all interior angles of a regular octagon is 1080 degrees. Also, each interior angle is 135 degrees. The exterior angle of an octagon measures 45 degrees and the sum of all exterior angles is 360 degrees.

### What are the angles of rotation for an octagon?

The angle of rotation would be 360 degrees divided by that order. For example, an octagon is an 8-sided figure, so the order is eight. If you divide 360 by 8, you get 45, which means the octagon has an angle of rotation of 45 degrees.

### What are exterior and interior angles of an octagon?

To be a Regular Octagon the Octagon Must Have: Eight congruent sides (sides of equal length) Eight congruent interior angles (each measuring 135°) Eight congruent exterior angles of 45°

How many degrees are in a octagon?

What is the exterior angle of octagon?

45°
A regular octagon has eight equal sides and eight equal angles. (a) Calculate the size of each exterior angle in the regular octagon. We do this by dividing 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°.

## What is the measure of an interior angle of a regular octagon?

135 degrees
Because the octagon is regular, all of its sides and angles are congruent. 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.

## How do you divide an octagon into 6 triangles?

Internal angles of an octagon The sum of the interior angles of an octagon equals 1080°. As shown in the figure above, five diagonals can be drawn to divide the octagon into six triangles.

What is the name for a shape with 6 sides?

hexagon
In geometry, a hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles.

What is the name of a polygon with 6 sides?