What are the exterior angles of a pentagon?
Each exterior angle of a pentagon is equal to 72°. Since the sum of exterior angles of a regular pentagon is equal to 360°, the formula to calculate each exterior angle of a regular pentagon is given as follows: The measure of each exterior angle of a pentagon = 360°/n = 360°/5 = 72°.
What is the exterior angle of a 5 sided pentagon?
Answer: The measure of each exterior angle of a regular pentagon is 72°
How many sides does an equiangular pentagon have?
Always five! In regular pentagons, all the sides are equal in length and have equal angles. The shapes having equal angles are called equiangular. Since the sum of interior angles of a polygon equals 360 degrees.
What is the measure of each angle of an equiangular pentagon?
In contrast, the regular pentagon is unique, because it is equilateral and moreover it is equiangular (its five angles are equal; the measure is 108 degrees).
How do you find the exterior angles of a polygon?
In every polygon, the exterior angles always add up to 360° Since the interior angles of a regular polygon are all the same size, the exterior angles must also be equal to one another. To find the size of one exterior angle, we simply have to divide 360° by the number of sides in the polygon.
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.
How many angles has a pentagon?
A pentagon has 5 sides and 5 angles.
How do you find the measure of an exterior angle of an equiangular polygon?
Univ. The measure of an angle in an equiangular, regular polygon is the sum of the the angles divided by the number of sides. So, the formula for the measure of one angle is (n – 2)*180°/n.
How do you find the sum of the exterior angles of a pentagon?
The sum of the exterior angles of a regular polygon will always equal 360 degrees. 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.
How do you find the measure of an exterior angle of a regular pentagon?
The pentagon is regular, so 540/5 gives 108 for each interior angle. The exterior and interior angles are supplementary, so the exterior angle = 180 – 108 = 72.