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  1. We can find the sum of the interior angles of a hexagon by using the formula, \text {Sum of interior angles}= (n-2) \times 180, Sum of interior angles = (n 2) × 180, where n n is the number of sides. A hexagon has 6 6 sides, so n=6. n = 6.

  2. The sum of all the interior angles of a hexagon is always equal to 720°. This is true regardless of whether the hexagon is regular or irregular. The sum of angles is obtained using the formula for the sum of polygons angles: (n-2)\times 180 (n − 2) × 180 °. where, n is the number of sides of the polygon. For a hexagon, we use n = 6 n = 6.

  3. Determine the sum of the interior angles using the formula. Set up an equation by adding all the interior angles, presented as numerical and algebraic expressions and solve for x. Plug in the value of x in the algebraic expressions to find the indicated interior angles.

  4. How to calculate the sum of interior angles in any polygon? Sum of interior angles in a polygon = (n - 2)180°, where n is the number of sides in the polygon. This is also called the polygon angle sum theorem.

  5. As per the angle sum theorem, the sum of all the three interior angles of a triangle is equal to $180^\circ$. Let us now see the formula to calculate the sum of interior angles of any polygon with “n” sides.

  6. Since a hexagon has six (6) sides, we can find the sum of all six interior angles by using n = 6 and: Sum = (n-2)’180°. = (6- 2).180o = (4)-180o. Hexagon Sum = 720°. All regular polygons are equiangular, therefore, we can find the measure of each interior. angle by: |.

  7. Interior Angles. Rule: Sum of interior angles = (\textcolor{red}{n} - 2) \times 180\degree. Where \textcolor{red}{n} is the number of sides.