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What is the Sum of the exterior angles of a 5-gon?
The sum of the exterior angles of a polygon, with any number of sides, is 360 degrees.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon
How do you find the sum of interior angles of a five sided polygon?
Total of interior angles of any n-sided polygon is 180n - 360 degrees, usually expressed as "2n - 4 right angles". For n = 5 formula gives 900 - 360 ie 540 degrees.
What do all the angles add up to in an 5 sided shape?
Interior angles add up to 540 degrees Exterior angles add up to 360 degrees
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?
This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.)The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is smaller than the interior angle measure.Let's assume that the given information is true. So we need to verify it.Let's say that the interior angle of the regular polygon has a measure of x degrees, and the measure of the exterior angle of that polygon is 4x degrees.Since the sum of the interior and the exterior angles of the polygon is 180 degrees (a straight line), the interior angle is 36 degrees.4x + x = 1805x = 1805x/5 = 180/5x = 36The sum of the angles of a polygon = 180⁰(n - 2), where n is the number of the sides of the polygon.The measure of one of the angles of a polygon = 180⁰(n - 2)/n. Substituting the angle measure of 36⁰ into this formula, we have:36⁰ = 180⁰(n - 2)/n (multiply by n to both sides)36⁰n = 180⁰(n - 2)36⁰n = 180⁰n - 360⁰ (add 360⁰ and subtract 36⁰n to both sides)360⁰ = 144⁰n (divide by 144⁰ to both sides)2.5 = n !!That means that a such normal polygon does not exist.
How do you work out the exterior angles of a pentagon?
Exterior angles of ANY regular n-sided polygon are 360/n degrees. Where n is 5 this gives 72 deg.
What is a 5 sided polygon with 2 angles?
pentagon
What is the Sum of the exterior angles of a 5-gon?
The sum of the exterior angles of a polygon, with any number of sides, is 360 degrees.
What degree is a regular exterior angle of a 5-sided polygon?
Each exterior angle is 72 degrees
How many degrees does a 5 sided polygon have on its exterior?
The 5 exterior degrees of a pentagon add up to 360 degrees
A convex polygon has 5 sides what is the sum of the measure of its exterior angles?
A convex figure has eight sides. What is the sum of its exterior angles?
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon
What is a 5-sided polygon with 2 right angles called?
A Diamond
What is the name of a polygo with 4 right angles and has 5 sided?
It does not exist as a 5 sided polygon. To have 5 sides, it must have 5 angles (or vertices). The sum of the angles of a 5 sided polygon is (5-2) x 180o = 540o. The sum of 4 right angles is 4 x 90o = 360o → the 5th angle is 540o - 360o = 180o which is a straight line There are infinitely many points with such an angle along each of the sides; or to put it another way, for a vertex to exist it cannot have an angle of 180o. Thus if the polygon has 4 right angles, it cannot be a 5 sided polygon.
What is the angle sum for a 5 sided polygon?
540 degree for the interior angles
What is the measure of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is a 5 sided regular pentagon and each interior angle measures 108 degrees
What are the numbers of right angles in the polygon?
A triangle can have 1 or less.A 4-sided polygon can have zero, 1, 2, or 4.A 5-sided polygon can have 3 or less.The possibilities always depend on the number of sides in the polygon,but the polygon is never required to have anyright angles.
