0
A polygon with each interior angle measuring 180 degrees is a regular octagon. In a regular octagon, all the sides are the same length and all the interior angles are the same. Therefore, since each interior angle is 180 degrees, the number of sides is 8. You can use the formula n - 2, where n is the number of sides, to find the number of sides for any regular polygon. In this case, n - 2 = 8 - 2 = 6. Since 6 is the number of sides, the polygon is an octagon.
Add your answer:
Earn +20 pts
How do you find a number of sides of a polygon with the measure of its interior angle?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
What is the number of sides of a polygon with interior angle of 176?
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
If one interior angle is 165 degrees find the number of sides of the polygon?
If one interior angle is 165 degrees, find the number of sides of the polygon.
Work out the number of sides of a regular polygon with the interior angle of 178?
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
What is the rule to get the number of sides of a regular polygon when given the interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
How many sides are in a regular polygon with an interior angle of 172.5?
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides
How many sides a polygon have with an angle 30?
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
If the measure of each interior angle of a regular polygon is 178 what is the number of sides of the polygon?
180 sides!
Is it possible for the interior angle of a regular polygon to be 154?
No. The sum of the exterior angles of a polygon sum to 360o For a regular polygon, they are all the same size ⇒ dividing 360o by the exterior angle gives the number of sides. Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o ⇒ number of sides = 360o ÷ 26o = 1311/13 sides But a polygon must have a whole number of sides ⇒ 154o cannot be the interior angle of a regular polygon.
How do you work out the exterior and interior angles of a regular polygon with W sides?
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
As the number of sides in a regular polygon increases what happens to the measure of an interior angle?
As the number of sides in a regular polygon increases, the angle increases. This occurs as a function where each interior angle measures (180*(n-2)) / n, where n is the number of sides.
Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
