How many sides does a polygon have if the measure of each interior angle is 9 times?
Divide 180 by 9 to get 20. Next divide 360 by 20 to get 18. So the polygon has 18 sides.
How many sides does the regular polygon have if each interior angle measure equals each exterior angle measure?
So, since the exterior angle is 20°, this regular polygon had 360°/20° = 18 sides.
What is the measure of the interior angles of an 8 sided polygon?
The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.
What is the number of sides for a regular polygon with an interior angle that measures 18 less than 10 times an exterior angle?
Solve for n , the number of sides in the polygon. The polygon has 20 sides.
How many sides does a polygon have if?
A geometrical figure with three or more sides is called a polygon or a polyhedron….Polygons: How Many Sides?
| 3 | triangle, trigon |
|---|---|
| 5 | pentagon |
| 6 | hexagon |
| 7 | heptagon |
| 8 | octagon |
How many sides does the regular polygon have if each interior angle measure is four times the measure of each exterior angle measure?
What is the number of sides a regular polygon must have so each interior angle measure is four times the measure of each exterior angle? 10 sides. The exterior and interior angles must add up to 180 degrees. Thus, 180 divided by five gives the exterior angle as 36 degrees (and hence the interior angles as 144 degrees).
How many sides does a regular polygon have if each of the interior angle is four times the measure of the exterior angle?
How do you find the measure of an interior angle of a regular polygon?
Lesson Summary A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.
What is the measure of each interior angle of a regular polygon?
A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees….Interior angles of Regular Polygons.
| Regular Polygon Name | Each interior angle |
|---|---|
| Triangle | 60° |
| Quadrilateral | 90° |
| Pentagon | 108° |
| Hexagon | 120° |
How do you find the measure of each interior angle of a regular polygon?
How do you find the sides of a regular polygon?
Answer: To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n – 2) × 180, where n is the number of sides.
What is the sum of 8 of the interior angles of a regular dodecagon?
1800 degrees
So, the sum of the interior angles of a dodecagon is 1800 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).