Quick Answer: How Many Sides Does A Regular Polygon Have If The Exterior Angle Is 45?

What shape has 45 degree angles?

regular octagonExample Question 1 A regular octagon has eight equal sides and eight equal angles.

(a) Calculate the size of each exterior angle in the regular octagon.

We do this by dividing 360° by the number of sides, which is 8.

The answer is 360° ÷ 8 = 45°..

Is it possible to have a regular polygon if each interior angle is 110?

It is not possible to have a regular polygon if each interior angle is 110 degree​. Also, the sum of all exterior angles in a regular polygon is 360°.

What’s a 20 sided shape called?

icosagonIn geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

How many sides does a regular polygon have if the exterior angle is 60?

6.exterior angle 1= 360 . n*60=360 => n=6. n(number of sides) = 6.

How many sides does a regular polygon have if the measure of exterior angle is 24 degree?

15Since 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.

What is the name of a regular polygon with an exterior angle of 45?

octagonSince your problem specifies a regular polygon (one with equal length sides and angles), we can determine the number of angles (and therefore the number of sides) by dividing 360 degrees by 45 degrees. So your regular polygon is eight-sided, i.e., an octagon.

How many sides does a regular polygon have if the exterior angle is 40?

9 sidesExplanation: 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 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 .

What is the formula for interior angles?

You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

How many sides does a regular polygon have if the exterior angle is 20?

18 sidesEach exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.

Are right angles 90 degrees?

Acute angles are less than 90 degrees, obtuse angles are more than 90 degrees, and right angles are exactly 90 degrees.

What is a 50 degree angle called?

Classification of angles on the basis of their degree measures are given below: Acute Angle: An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.

What shape has an exterior angle of 36?

Properties of regular decagonsInterior angle144°Exterior Angle36°Area7.694s2 approx

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.

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.

Is it possible to have a regular polygon each of whose interior angle is 45?

It impossible for a interior angle of a regular polygon to equal degrees. … The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or .

Can a regular polygon have interior angles of 100?

Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.

Can a regular polygon have interior angles of 130?

The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.

How many sides does a polygon have if the exterior angle is 18?

20 sides360/18 = 20 sides. there are 20 sides to the polygon.

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

What is a 9 sided polygon called?

NonagonIn geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.