WebThe sum of the interior angles of a polygon is 180 (n – 2), where n is the number of sides. Therefore, a hexagon has an interior angle sum of 720 degrees and each interior angle of … WebAug 22, 2024 · In a hexagon, n=6, so the sum of the interior angles in a hexagon is (6-2)•180°=4•180°=720°. And since all the interior angles of a regular hexagon are equal, each one measures 720°/6=120°. From this we derive many other interesting properties, starting with showing that a regular hexagon is made up of 6 equilateral triangles.
What is a hexagon? Definition, Properties, & Examples - Tutors.com
WebFeb 5, 2024 · Since there are 6 angles in a regular hexagon and each angle equals 120°, the total sum would be: 120 + 120 + 120 + 120 + 120 + 120 = 720. or. 120 x 6 = 720. Furthermore, you can use the polygon interior sum … WebJun 29, 2024 · Thus, each interior angle of a regular hexagon measures {eq}{\rm{120^\circ }} {/eq}. So, a regular hexagon is equiangular, meaning that each angle has equal measure. statistics of technology use in schools
5.27: Interior Angles in Convex Polygons - K12 LibreTexts
WebThe circle rotates through each of the vertices of the hexagon and reaches the starting point. It means that the circle has taken one full turn, which is equal to 360°. Here the hexagon's exterior angles sum up to 360° ⇒ 6 k = 360°. Thus each exterior angle k measures 60°each. Thus the sum of the exterior angles of any polygon is equal to ... WebThe sum of the measures of the interior angles of any hexagon is = (6 - 2) ⋅ 180° = 4 ⋅ 180° = 720° We can add the measures of all interior angles of the above hexagon and the sum can be equated to 720°. So, we have 136° + 136° + 88° + 142° + 105° + x° = 720° Simplify. 607 + x = 720 Subtract 607 from each side. x = 113 WebA hexagon has 6 sides. Therefore, n = 6 Substitute. Measure of each interior angle =180° * (n – 2)/n = 180° * (6 – 2)/6 = 180° * 4/6 = 60° * 2 = 120° Interior angle of a rectangle A rectangle is an example of a quadrilateral (4 sides) n = 4 Measure of each interior angle =180° * (n – 2)/n =180° * (4 – 2)/4 =180° * 1/2 =90° statistics of teen pregnancy