If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
Chat with our AI personalities
We can use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has.sum of angles = (n - 2)180°Substituting in 900 for the sum of the interior angles...900 = (n-2) * 180divide both sides by 1805 = n - 2add 2 to both sides7 = nThis is a seven sided Polygon. In geometry, a heptagon (or septagon) is a polygon with seven sides and seven angles.
The formula is: (12-2)*180 = 1800 degrees
To find the sum of the interior angles of any polygon, you can use the formula (n-2) * 180 degrees, where n is the number of sides. For a 39-sided polygon, the sum of the interior angles would be (39-2) * 180 = 37 * 180 = 6660 degrees. Since all the interior angles of a polygon are equal, you can divide the total sum by the number of angles to find the measure of each interior angle. In this case, each interior angle of a 39-sided polygon would measure 6660 / 39 = 170.77 degrees.
If a regular polygon has n sides, then the number of triangles in that polygon is n - 2. thus, the sum of its interior angles is equal to (n - 2)180°.
Use the formula below to calculate the sum of the interior angles of any polygon with n-number of sides: n * (180o) - 360o or (n-2) * 180o And to find the measurement of each interior angle divide this number by the number of sides of the polygon. So for a 20-sided polygon, the sum of the interior angles would be: 20*180o - 3600 = 3240o or (20-2) * 180o = 3240o And each interior angle would measure 3240o/20 or 162o == ==