360 degrees
180
1440 degrees
1260 degrees
1440 degrees
360 degrees
exterior angle theorem
180
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.
The sum of the angles should equal 180
180
1440 degrees
1260 degrees
1440 degrees
To find the sum of the interior angle measures of a polygon with ( n ) sides, use the formula ( (n - 2) \times 180^\circ ). For the sum of the exterior angle measures of any polygon, regardless of the number of sides, it is always ( 360^\circ ). Thus, you can easily calculate the interior angles based on the number of sides while remembering that the exterior angles sum to a constant value.
360
If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.