Web(a) n = 7 (b) n = 9 Find the measure of each interior angle (in degrees) of a regular polygon of n sides for the following values of n. (a) n = 9 (b) n = 5 Find the sum of the measures of the exterior angles (in degrees) of the following. (a) an equilateral triangle (b) a rectangle (each interior angle is a right angle) Web7. 900°. Octagon. 8. 1080°. The measure of each internal angle in a regular polygon is found by dividing the total sum of the angles by the number of sides of the polygon. For example, we saw that the sum of the interior angles of a hexagon equals 720°. Therefore, when we divide by 6 (sides in a hexagon), we have: 720°÷6=120°.
Angles of a polygon (practice) Shapes Khan Academy
WebJul 7, 2024 · Angles in a Pentagon. Like in any other polygon, the pentagon also has three types of angles. They are: Interior Angle: The measure of each interior angle of a pentagon = ϕ = [ ( number of sides – 2) × 180 o] number of sides = 540 ° number of sides = 108 °. Exterior Angle: T he measure of each exterior angle of a pentagon = 360 ° … WebA regular pentagon has all angles of equal measure. We also know that the sum of the interior angles of a regular pentagon is 540°. Each interior angle of a regular … small engine parts manchester nh
Interior Angles of a Polygon - BYJU
WebApr 6, 2024 · In the case of regular polygons, the measure of each interior angle is congruent to the other. A Theorem about Interior Angles. Here will prove the polygon … WebMay 9, 2024 · Since each interior angle of a regular pentagon is 108 degrees, 2x+4 must equal 108. 2x+4=108. 2x=104. x=52 degrees. Hope this helps! Advertisement Advertisement New questions in Mathematics. A film distribution manager calculates that 6% of the films released are flops. If the manager is right, what is the probability that the proportion … Web108. What is the sum of the measures of the exterior angles of an octagon? Enter your answer in the box. 360. What is the value of x? Enter your answer in the box. An irregular pentagon. The interior angles of the pentagon measure x degrees, 131 degrees, 108 degrees, 107 degrees, and 110 degrees. 84. song everybody plays a fool