How many exterior angles does a regular polygon have?
A regular polygon has equal exterior angles of 72°.
How do you find the exterior angle of a polygon?
Exterior Angles of a Regular Polygon with n sides: Exterior angle = 360°/n.
How many exterior angle are there?
An exterior angle of a triangle is formed when any side of a triangle is extended. There are 6 exterior angles of a triangle as each of the 3 sides can be extended on both sides and 6 such exterior angles are formed.
Why is the sum of exterior angles of a polygon always 360?
The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs.
How much is exterior angle?
Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
What is the sum of the exterior angles of a 17 sided polygon?
360°
The sum of the interior angles of a 17-sided convex polygon is 2700°, and the sum of the exterior angles is 360°.
Which polygon has the most sides?
Types Of Regular Polygons A triangle that has all sides and angles the same is called an equilateral triangle, or regular triangle. A quadrilateral that has all sides and angles the same is called a square, or regular quadrilateral. A pentagon that has all sides and angles the same is known as a regular pentagon.
Does polygon have more sides than angles?
Does a polygon have more sides or more angles. Answer. Each polygon has the same angles to the sides. This happens because any two adjacent sides form one angle, so the last side (going in one direction) is created or the angle of the last and the first side.
How many reflex angles can a polygon have?
Figure 1 shows a non-convex polygon (see Appendix for words which may not be familiar to you, and ideas which extend the discussion in the text below) which has 6 sides. This polygon has only one reflex angle, that is, an interior angle which is greater than 180 degrees.