WebStep 2: Find the value of each interior angle. It is known that the sum of an interior angle and the corresponding exterior angle is 180 °. Thus, the value of each interior angle of the regular octagon can be given by, 180 ° - 45 ° = 135 °. Hence, the measure of each angle of a regular octagon is 135 °. Suggest Corrections. WebOct 16, 2024 · Since an octagon has eight sides, subtract two from eight to get six. Multiply six by 180 to find the total number of degrees in an octagon equals 1,080. Divide 1,080 by eight to find the measure of each interior angle if the octagon is regular. In a regular octagon, each angle measures 135 degrees.
What is the measure of each interior angle of a regular octagon
Web6 years ago. So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take 540+180=720. … WebA regular octagon is a geometric shape with 8 equal lengths and 8 equal angles. The sum of the interior angles of a regular octagon is 1080 degrees, which makes each angle … grammar review for 8th grade
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WebApr 21, 2024 · The measure of each interior angle of a regular octagon is 135 degrees Advertisement Advertisement emilythechagala emilythechagala I believe the interior angle is 135° Advertisement Advertisement New questions in Mathematics. Help please i need this done by the end of my class !! WebDec 6, 2015 · Explanation: The sum of all interior angles of an N -sided convex polygon is. (N − 2) ⋅ 180o. Therefore, for 8-sided octagon this sum is. (8 −2) ⋅ 180o = 1080o. Since all 8 interior angles in an octagon are equal, each one is. 1080o 8 = 135o. Answer link. WebWe know the total interior angle of the octagon is 1080 degrees, so we can divide this by the number of angles (8) to get the measure of each angle: measure of each angle = 1080 / 8 = 135 degrees. To find the length of each side, we can use the fact that a regular octagon can be divided into 8 congruent isosceles triangles, with each triangle ... grammar resources for teachers