How do you find the exterior angle of a regular pentagon?

Or, using the formula for the sum of interior angles, 180 (n – 2) , where n = 5, gives 540 degrees. 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.

How do you find the measure of an exterior angle of a regular polygon?

The measure of each exterior angle of a regular polygon is given by; The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.

What is the outer angle of pentagon?

72°
In the case of a regular pentagon, the interior angle is equal to 108°, and the exterior angle is equal to 72°. An equilateral pentagon has five sides that are equal to each other. The sum of the interior angles of a rectangular pentagon is equal to 540 degrees.

How do you find the exterior angle?

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.

What is the exterior angle sum of a regular pentagon?

360°
Sum of Exterior Angles in a Pentagon We know that each exterior angle is supplementary to the interior angle. Therefore, the sum of exterior angles of a polygon = n(360°/n). As, the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5(360°/5) = 360°.

What is the exterior angle sum of a pentagon?

The exteriors angles of a pentagon are (m + 5)°, (2m + 3)°, (3m + 2)°, (4m + 1)° and (5m + 4)° respectively. Find the measure of each angle. Hints: The sum of all exterior angles of a polygon is 360°.

How much is the exterior angle of a pentagon?

Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.