Webthe sum of the exterior angles of a convex polygon is 360 degrees, what is the measure of each exterior angle of each exterior angle of a regular polygon with 6 sides? Question: the sum of the exterior angles of a convex polygon is 360 degrees, what is the measure of each exterior angle of each exterior angle of a regular polygon with 6 sides? WebDec 21, 2024 · Example 3: Find the regular polygon where each of the exterior angle is equivalent to 60 degrees. Solution: Since it is a regular polygon, the number of sides can be calculated by the sum of all exterior angles, which is 360 degrees divided by the measure of each exterior angle.
Sum of interior angles of a polygon (video) Khan Academy
WebSep 26, 2024 · The sum of internal angles in an n-sided polygon is 180(n-2). In a regular 7-sided polygon, the sum of the internal angles is 180*(7 - 2) = 900° Each internal angle is 900/7 = 128.57°. Because the sum of angles on one side of a straight line is 180°. therefore each exterior angle is 180 - 128.57 = 51.43° Answer: 51.4° (nearest tenth) WebAn interior angle of a regular polygon is four times the measure of its exterior angle. How many sides does the polygon have? A. 144 B. 72 C. 36 D. 10. Question: An interior angle of a regular polygon is four times the measure of its exterior angle. How many sides does the polygon have? rihana musica nova
Angles in a Pentagon: Interior, Exterior & Central with Examples
WebThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: Question 5 Which of the following expressions gives the sum of the measures of exterior angles of a regular polygon with n sides? a) 360° b) (180 (n – 1))" c) (180) d) o (180 (n – 2)^ o) (180 ... WebThe measure of an exterior angle for a regular 4-gon (square) is: 360 / N. =360 / 4. =90 degrees. Note: this is the only case where the interior and exterior angles for a regular N-gon have the same measure. Here is the proof: Measure of Interior Angle of Regular N-gon = Measure of Exterior Angle of Regular N-gon. WebJan 22, 2024 · The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is, 180(n - 2)/ n = 3(360/n) The value of n from the equation is 8. The polygon with 8 sides is an octagon. Answer: OCTAGON rihana ta gravida