Table of Contents
- 1 How do you find the interior angles of a parallelogram?
- 2 How many sides does a polygon have if the sum of its interior angles is 1620?
- 3 How many sides does a regular polygon have if each of its interior angles is 165?
- 4 What is the sum of all interior angles of a parallelogram?
- 5 How do you find the sum of all interior angles in a polygon?
How do you find the interior angles of a parallelogram?
First, one must be aware that the sum of the measures of the interior angles of a parallelogram is 360 degrees (sum of the interior angles of a figure = 180(n-2), where n is the number of sides of the figure).
How many sides does a polygon have if the sum of its interior angles is 1620?
the number of sides of a regular polygon with the sum of angles as : 1620°=11 sides.
Which quadrilaterals have interior angles that add up to 180?
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Triangle | 3 | 180° |
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
What is the sum of the interior angles of a polygon having 11 sides?
So, the sum of the interior angles of an 11-gon is 1620 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).
How many sides does a regular polygon have if each of its interior angles is 165?
24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
What is the sum of all interior angles of a parallelogram?
360°
Parallelogram/Sum of interior angles
What happens when one of the interior angles of a quadrilateral is equal to 180?
Proof: The sum of the measures of the interior angles of any quadrilateral can be found by breaking the quadrilateral into two triangles. Since the measure of the interior angles of any triangle equals 180 degrees, each of the two triangles will contribute 180 degrees to the total for the quadrilateral.
What are alternate interior angles in a parallelogram?
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: c and f.
How do you find the sum of all interior angles in a polygon?
The sum of all interior angles of a regular polygon is calculated by the formula S=(n-2) × 180°, where ‘n’ is the number of sides of a polygon.