What is the measure of each exterior angle of a regular polygon of a 6 sides?
Answer: Answer and Explanation: Answer and Explanation:The measure of each exterior angle of a regular hexagon is 60 degrees. The sum of the exterior angles of all regular polygons equal 360 degree.
What is the measure of each interior angle of a regular polygon with 45 sides?
The sum of the measures of the interior angles of a 45-gon is 43(180) = 7740, so each interior angle of a regular 45-gon would be 7740/45 = 172. The sum of the measures of any polygon is 360 degrees, so the measure of each interior angle of a regular 45-gon would be 360/45 = 8.
What do you call a polygon with 4sides and 4angles?
A quadrilateral is a polygon that has exactly four sides. (This also means that a quadrilateral has exactly four vertices, and exactly four angles.)
What is the measure of each angle of a regular polygon having four sides?
Sum of Interior Angles of a Polygon with Different Number of Sides:
| Regular Polygons | ||
|---|---|---|
| Polygon | No. of Sides | Measure of Interior Angle |
| Triangle | 3 | 600 |
| Quadrilateral | 4 | 900 |
| Pentagon | 5 | 1080 |
What is the each exterior angle of a regular polygon?
The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360. If you know the exterior angle you can find the interior angle using the formula: interior angle + exterior angle = 180°
How do I find the measure of an exterior angle of a regular polygon?
The measure of each exterior angle of a regular polygon is given by; The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.
What is the measure of each interior angle of a regular polygon with 15 sides *?
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.
Can a regular polygon have an interior angle of 156?
Answer: The interior angle of a regular polygon is 156 deg. So the polygon has 360/24 = 15 sides.
What is a polygon with 6 sides and 6 angles?
hexagon
In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “corner, angle”) is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
How do you find the angle of a regular polygon?
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
What is the measure of each angle in a regular pentagon?
108 degrees
Correct answer: The measure of one interior angle of a regular pentagon is 108 degrees.
