What polygon has an exterior angle of 20 degrees?
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.
How many degrees are there in each exterior angle of a regular polygon with 20 sides?
Each exterior angle of a regular polygon of 20 sides = 360/20 = 18 deg. Each interior angle of a regular polygon of 20 sides = 180 – 18 = 162 deg.
What is the interior angle of a polygon with an exterior angle of 20?
Since each interior/exterior pair is supplementary and since the exterior angle is 20, the interior angle is 180-20 = 160 degrees.
What is the measure of each exterior angle of the regular polygon has 20 sides enter your answer in the box?
2 Answers By Expert Tutors Thus, the sum of the exterior angles will be 360°. So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.
How do you 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.
How do you find the exterior angles of a polygon?
The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
What is the sum of the measures of the interior angles of a 20 sided figure enter your answer in the box?
The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.
What is exterior angle of polygon?
If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.
How do you find the exterior of a polygon?
What is the exterior angle of a polygon?
An exterior angle of a polygon is an angle at a vertex of the polygon, outside the polygon, formed by one side and the extension of an adjacent side. Notice that corresponding interior and exterior angles are supplementary (add to 180°). The magnitude of an angle can be determined by the number of sides of the polygon.
What is the sum of all exterior angle of a polygon?
Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.