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How to Find the sum of the interior angle measures and the sum of the exterior angle measures of a quadrilateral?

360 degrees


Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?

exterior angle theorem


What is the sum of the measures of the interior angle of a regular polgon if each exterior angle measures 120?

180


What does the Polygon Exterior Angle Sum Theorem say?

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.


Sum of the exterior angle measures of a triangle?

The sum of the angles should equal 180


What is the sum of the measures of the interior angles if each exterior angle measures 120?

180


One exterior angle of a regular polygon measures 36 What is the sum of the polygon's interior angle measures?

1440 degrees


One exterior angle of a regular polygon measures 40 What is the sum of the polygons interior angle measures?

1260 degrees


One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?

1440 degrees


How can you find the sum of the interior Angle measures and the sum of the exterior angle measures of a polygon?

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.


What is the sum of the measures of the interior of a regular polygon if each exterior angle measures 90?

360


One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?

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.