Working Out Interior Angles

The interior angles of a shape are the angles inside it.

Working out interior angles. 180 121 59 degree. α β γ 180 how do we know that. Interior angle an interior angle is an angle inside a shape.

Next we can work out the size of angle cdb as angles on a straight line add up to 180 degree. The formula for calculating the size of an interior angle is. Interior angle of a polygon sum of interior angles number of sides.

If you know the size of an exterior angle you can work out the size of the interior angle next to it because they will add up to 180 since together they are the angle on a straight line. This will give you in degrees the sum of the interior angles in your polygon. Then solve for n by subtracting 2 from the number of sides and multiplying the difference by 180.

The measure of each interior angle of an equiangular n gon is if you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360. Next plug this number into the formula for the n value. Sum of interior angles n 2 180 each angle of a regular polygon n 2 180 n.

Sum of three angles α β γ is equal to 180 as they form a straight line. When we add up the interior angle and exterior angle we get a straight line 180. Interior and exterior angle formulas.

The sum of exterior angles of a polygon is 360. To calculate the sum of interior angles start by counting the number of sides in your polygon. Now we know the other 3 interior angles we get that.