If the interior angles of a polygon add up to 1980 degrees then it has 13 sides
1800 degrees
1440 degrees
1440 degrees
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
The vertex angle of an isosceles triangle is equal to the measure of each of its base angles. Therefore, if one of the base angles measures 42 degrees, then the vertex angle also measures 42 degrees.
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
1800 degrees
If your "53" is in degrees, then the vertex angle is 74 degrees.
1440 degrees
1440 degrees
If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.
If each interior angle is 175 degrees then the polygon will have 72 sides
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
The vertex angle of an isosceles triangle is equal to the measure of each of its base angles. Therefore, if one of the base angles measures 42 degrees, then the vertex angle also measures 42 degrees.
Vertex angle = 180 - 2(62) = 56 degrees
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
57.5 degrees