The sum of the interior angles of a 6-sided polygon, or a hexagon, is (6-2)*180 = 720 degrees. The measure of one of these angles cannot be determined unless the hexagon is regular and the question does not say that it is a regular hexagon.
If it were a regular hexagon, each interior angle would be 720/6 = 120 degrees.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
It will be an equilateral triangle and each interior angles measure 60 degrees.
Altogether they add up to 1980 degrees.
An interior or exterior angle of the polygon.
If measured on the inside of the polygon, the it is an interior angle.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
Subtract the interior angle from 180
It will be an equilateral triangle and each interior angles measure 60 degrees.
Altogether they add up to 1980 degrees.
An interior or exterior angle of the polygon.
In geometry, an interior angle is an angle formed by two sides of a simple polygon that share an endpoint, namely, the angle of the inner side of the polygon.
If measured on the inside of the polygon, the it is an interior angle.
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
The exterior angle of any polygon, including a tricontakaitrigon, is the angle formed between one side of the polygon and the extension of an adjacent side. The measure of the exterior angle of a regular tricontakaitrigon is 2 degrees, as each interior angle of this polygon measures 178 degrees.
Extending a line past a side of the polygon, and measuring the angle between the adjacent side and the line. This angle will equal 180°-(interior angle). Below, I've tried to illustrate it, where x is the exterior angle, and i is the interior angle: x\ i __\_______/
Whether you are talking about the measure of each interior angle, or the total of all the interior angles, there is no largest. The more sides a regular polygon has, the larger it angles will be. As the number of sides grows without bound, the measure of each interior angle gets closer and closer to 180 degrees, and the polygon looks more and more like a circle. The sum of the interior angles increases by 180 degrees every time you add a side.
If each interior angle measures 156 degrees then it must have 15 sides