What is the exterior angle of a regular polygon?
The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360.
How do you find the interior and exterior angles of a triangle?
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
What is the external angle of a triangle?
An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.
What is the measure of the exterior angle of a triangle?
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
What is the formula to find exterior angles?
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
What is the exterior angle of a equilateral triangle?
The exterior angles of an equilateral triangle will always have a measure of 120°.
What is an exterior angle in math?
1 : the angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.
How to calculate sum of Interior and exterior angles in polygons?
If the sum of the measures of the interior angles of a convex polygon is 3600°, how many sides does the polygon have. 3. Solve for x. 4x – 2 82 108 2x + 10 (16 – 2)*180 (n – 2)*180 = 3600 180n – 360 = 3600 + 360 + 360 180n = 3960 180 180 n = 22 sides (4 – 2)*180 = 360 108 + 82 + 4x – 2 + 2x + 10 = 360 6x + 198 = 360 6x = 162 6 6 x = 27 = 2520°
Which is an example of a regular polygon?
If all the sides and interior angles of the polygons are equal, they are known as regular polygons. The examples of regular polygons are square, rhombus, equilateral triangle, etc. In regular polygons, not only the sides are congruent but angles are too. That means, they are equiangular.
Which is the measure of an interior angle of a regular polygon?
The measure of each interior angle of n-sided regular polygon = [ (n – 2) × 180°]/n The measure of each exterior angle of an n-sided regular polygon = 360°/n Some of the regular polygons along with their names are given below:
What is a regular polygon of 7 sides called?
What is a Regular Polygon of 7 sides called? A regular polygon of 7 sides called a regular heptagon. The sum of all interior angles of this polygon is equal to 900 degrees, whereas the measure of each interior angle is approximately equal to 128.57 degrees.