Table of Contents
- 1 How do you find the sides of a polygon with exterior and interior angles?
- 2 How do you find the number of sides in a polygon given the ratio?
- 3 What is the ratio of the sum of interior angles and the sum of exterior angles of the regular Pentagon?
- 4 How do you find the exterior angle of a polygon given the sides?
- 5 What is the ratio of exterior and interior angles of Polygon?
- 6 Why is a regular polygon an equilateral triangle?
How do you find the sides of a polygon with exterior and interior angles?
Starts here6:42Finding Interior and Exterior Angles in a Polygon – YouTubeYouTubeStart of suggested clipEnd of suggested clip52 second suggested clipIf it’s a regular polygon meaning that all the angles are the same you take 360 divided by n. AndMoreIf it’s a regular polygon meaning that all the angles are the same you take 360 divided by n. And then this last one here is just that the sum of all the exterior angles in a polygon.
How do you find the number of sides in a polygon given the ratio?
Starts here1:28Finding the number of sides of a regular polygon given the ratio of …YouTubeStart of suggested clipEnd of suggested clip48 second suggested clipSo we can say that 11 X plus X is 180. Gives that 12 X is 180. And therefore divided by 12 we’reMoreSo we can say that 11 X plus X is 180. Gives that 12 X is 180. And therefore divided by 12 we’re going together X is 15 degrees.
What is the ratio of the sum of interior angles and the sum of exterior angles of the regular Pentagon?
The ratio between the interior angle and the exterior angle of a regular polygon is 2:1.
What is the ratio of interior and exterior angles of a regular octagon?
We know that the sum of the exterior angles of any polygon in existence is equal to 360°. We also know that the sum of an exterior angle +its interior angle=180°. Answer-3:1 is the ratio of an angle of a regular octagon to its exterior angle.
How do you find the sides of a polygon with an interior angle sum?
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.
How do you find the exterior angle of a polygon given the sides?
Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.
What is the ratio of exterior and interior angles of Polygon?
The ratio of the exterior and interior angle of a regular polygon is 2:3. Find the number of sides in the polygon. The ratio of the exterior and interior angle of a regular polygon is 2:3. Let exterior angle and interior angle of a polygon be 2x and 3x.
Why is a regular polygon an equilateral triangle?
Solution: Since the polygon is regular, the measure of all the interior angles is the same. Therefore, all its exterior angles measure the same as well, that is, 120 degrees. Since the polygon has 3 exterior angles, it has 3 sides. Hence it is an equilateral triangle.
What are exterior angles in math?
What are Exterior Angles? 1 They are formed on the outside or exterior of the polygon. 2 The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line. 3 In the figure, angles 1, 2, 3, 4 and 5 are the exterior angles of the polygon.
What is the sum of an interior angle and its corresponding angle?
The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line. In the figure, angles 1, 2, 3, 4 and 5 are the exterior angles of the polygon.