Summed, the exterior angles equal 360 degreEs. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.

What is exterior angle property?

What is the exterior angle property? If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

What is the exterior angle of a regular pentagon?

Exterior Angle of a Regular Pentagon

The measure of each exterior angle of a pentagon = 360°/n = 360°/5 = 72°.

What do the exterior angles add up to?

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

What is the sum of exterior angles for a 27 Gon?

The sum of the exterior angle measures of a convex polygon, one angle at each vertex, is 360. Example 1: Find the sum of the measures of the exterior angles, one at each vertex, of a convex 27-gon. For any convex polygon, the sum of the measures of its exterior angles, one at each vertex, is 360.

How many exterior angles does a triangle have?

A triangle has 3 sides, 3 vertices, at these each vertices, we get 2 exterior angles, therefore, 3×2=6 exterior angles.

What are exterior angles of a polygon?

In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees.

What polygon has exterior angle of 18?

Calculation: As each exterior angle of a regular polygon is 18°. ∴ The number of sides of the polygon is 20 when each exterior angle is 18°.