How do you find the exterior angle 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 exterior angles of a polygon?
The exterior angles of a polygon are angles drawn from an adjacent side. The exterior angles also add up to 360 degrees. The interior and exterior angles add to 180 degrees.
How many sides does a polygon have if each exterior angle measures 20 What is the sum of the interior angles?
Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. Let the number of sides be n. n = 18, an octadecagon.
What is the sum of the measure of the exterior angles of any polygon?
Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.
How do you find the exterior angle of an irregular polygon?
Irregular Polygons To find the measurement of an exterior angle, simply take the corresponding interior angle and subtract it from 180. Since the interior and exterior angle together add up to a straight line, their values should equal 180 degrees.
What is the exterior angle of a 20 sided polygon?
So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.
Why are the exterior angles of a polygon 360?
Because of the congruence of vertical angles, it doesn’t matter which side is extended; the exterior angle will be the same. The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees.
What is the angle sum property of exterior angles of a polygon?
If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
What is the exterior angle of a polygon?
Exterior Angles of Polygons The Exterior Angle is the angle between any side of a shape, and a line extended from the next side.
How does the angle of a polygon add up to 360?
As you can see, for regular polygons all the exterior angles are the same, and like all polygons they add to 360° (see note below). So each exterior angle is 360 divided by the n, the number of sides.
Which is the sum of the angles of a polygon?
Exterior angles of polygons. 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°.
Is the interior angle supplementary to the exterior angle?
At any given vertex, the interior angle is supplementary to an exterior angle. See Interior/Exterior angle relationship in a polygon . In the figure above, imagine the polygon drawn on the ground.