Quick Answer: What Is The Largest Exterior Angle Of A Regular Polygon?

How many sides does a polygon with an exterior angle of 12 have?

30 sidesTherefore, dividing the number of degrees by number of angles (or sides) should yield the average number of degrees per angle.

So, So, a regular polygon with an exterior angle measure of 12 degrees has 30 sides..

How do you find the size of an exterior angle in 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 sides does a regular polygon have if the measure of an exterior angle is 24?

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

Is it possible to have a regular polygon with an exterior angle of 22?

Answer. No it is not possible to have each exterior angle 22 degrees.

Is it possible to have a regular polygon with an exterior angle of 25?

It is not possible to have a regular polygon each of whose exterior angle is 25°.

What is an exterior angle of a triangle?

An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle. FACTS: … The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Are alternate angles the same?

Lesson Summary Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.

How many sides does a regular polygon have if the measure of an exterior angle is 60 degree?

The number of sides of a regular polygon is whose exterior angle is 60 is a regular hexagon.

What is the name of a regular polygon with an exterior angle of 72?

pentagonThe number of sides is 36072=5 so it is a regular pentagon.

What is the exterior angle of a 40 Gon?

In geometry, a tetracontagon or tessaracontagon is a forty-sided polygon or 40-gon. The sum of any tetracontagon’s interior angles is 6840 degrees.

How many sides does a regular polygon have if the measure of an exterior angle is 45 degree?

8As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

What is the measure of an exterior angle of a regular 7 sided polygon?

Answer Expert Verified Each internal angle is 900/7 = 128.57°.

What is the exterior angle of a regular pentagon?

A regular polygon has equal exterior angles of 72°. (a) Calculate the size of each interior angle in the regular polygon. We do this by subtracting the exterior angle of 72° from 180°. The answer is 180° – 72° = 108°….Question 2.(a) a regular decagonexterior = °(b) a regular pentagonexterior = °interior = °1 more row

What does exterior angle mean?

noun Geometry. an angle formed outside parallel lines by a third line that intersects them. an angle formed outside a polygon by one side and an extension of an adjacent side; the supplement of an interior angle of the polygon.

What is a 100 sided shape called?

hectogonIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What is the maximum exterior angle of a regular polygon?

Exterior angles of a polygon are formed when by one of its sides and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. Each exterior angle of an equilateral triangle is 120 degrees and hence this the maximum possible value of the exterior angle of a regular polygon.

Is it possible to have a regular polygon with an exterior angle of 50?

Since n is not an integer, we cannot have a polygon with each exterior angle equal to 50°.

How many sides does a regular polygon have if the measure of an exterior angle is I 400 II 450?

Explanation: The exterior angles of any regular polygon must add up to 360o . Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

How do you find the largest exterior angle?

The sum of the measures of the exterior angles of a convex polygon= 360 degrees. “5x” is the largest of the exterior angles. 5x=5*24=120 degrees. The larest exterior angle is 120 degrees.

How many sides does a regular polygon have if the exterior angle is 30?

12Explanation: Sum of exterior angles of every polygon irrespective of number of its sides is 360o . As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .