Which kind of polygon has the sum of 180 degree of its interior angles?
Table of Contents
Which kind of polygon has the sum of 180 degree of its interior angles?
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Triangle | 3 | 180° |
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
How many sides does a polygon have if the sum of its interior angles is 2880?
A polygon with 18 sides has an interior angle sum of 2880 degrees.
How many sides does a regular polygon have if each of its interior angles has a measure of 168 degrees?
30 sides
Therefore, there are 30 sides in the given regular polygon whose interior angle is \[{{168}^{\circ }}\].
How many sides does a polygon have if the sum of its interior angle measures 1800?
The sum of its interior angles is given to be 1800 degrees. But the sum of interior angles of an n-sided polygon is 180(n−2) 180 ( n − 2 ) . Since it is a 12-sided polygon, it is called a dodecagon.
What is the measurement of 180?
Right angle: The angle which is equal to 90° Obtuse angle: The angle which is more than 90° but less than 180° Reflex angle: The angle which is more than 180°…Table of Angles.
| Type of angle | Measure of angle |
|---|---|
| Right angle | θ = 90° |
| Obtuse angle | 90° < θ < 180° |
| Straight angle | θ = 180° |
| Reflex angle | 180° < θ < 360° |
Why is the sum of interior angles of a polygon 180 n 2?
A quadrilateral can therefore be separated into two triangles. If you look back at the formula, you’ll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.
How many sides does a polygon have with an interior of 140?
9
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).
How many sides does regular polygon have if each of its interior angle is 165?
24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
What is the formula for the sum of the interior angles measures of a polygon?
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 sum of all interior angles of a polygon of 8 sides?
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.