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How can you determine the sum of the exterior angles of a given polygon?
You can do it by memorizing this statement:" The sum of the exterior angles of every polygon is 360 degrees. "
What is the sum of all the angles in a convex hexagon?
The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.
What is the rule for finding out the sum interior angle of a polygon?
To find the sum of the interior angles and the sum of the exterior angles of any polygon. To review linear measurement to the nearest sixteenth of an inch and angle measurement to the nearest degree. To construct a polygon and its exterior angles given the number of sides. hope this helped
What is the relationship between interior angles and the sum of the exterior angles of a given polygon?
There isn't one. The sum of the exterior angles is always 360 degrees, the sum of the interior angles varies depending on the number of sides.
What polygon has interior angles that measure 900 degrees?
A polygon with interior angles that sum to 900 degrees is a nonagon, which has 9 sides. The formula for the sum of interior angles of a polygon is given by ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. Setting this equal to 900 degrees, we find ( n = 9 ). Therefore, a polygon with a sum of interior angles of 900 degrees is a nonagon.
What is sum of the interior angles of a polygon with three sides?
the sum of the interior angles of a 3 sided polygon is = 180 degrees. the sum of the interior angles of any polygon is given by 540/n. in this case n is = 3
What is the sum of interior angles of a icosagon?
That will depend on what type of isogon it is because an isogon is the name given to any regular polygon whose interior angles are equal.But in the general: (n-2)*180 = sum of interior of any polygon whereas 'n' is the number of sides of the polygon.
What polygon has equal sides and equal angles?
A polygon that has congruent sides and congruent angles is called a Regular polygon. If the number of sides is given, you can be more specific. Some examples: 3 congruent sides/angles = equilateral triangle 4 congruent sides/angles = square 5 congruent sides/angles = regular pentagon 6 congruent sides/angles = regular hexagon ...and so on, by adding "regular" in front of the shape's name.
Sum of angles of a nonagon?
The sum of the interior angles of a nonagon is 1260 degrees. A nonagon is a nine-sided polygon in geometry. The formula to find the sum of interior angles in a polygon is given by the formula [n-2] x 180 degrees, where n represents the number of sides.
What is the sum of the measures of the interior angles of a regular polygon is each exterior angle measures 120?
To find the sum of the measures of the interior angles of a regular polygon with each exterior angle measuring 120 degrees, we first determine the number of sides in the polygon. The sum of exterior angles of any polygon is always 360 degrees, so the number of sides ( n ) can be calculated as ( n = \frac{360}{120} = 3 ). Since it is a triangle, the sum of the interior angles is given by the formula ( (n - 2) \times 180 ) degrees, which for a triangle (3 sides) is ( (3 - 2) \times 180 = 180 ) degrees. Thus, the sum of the measures of the interior angles is 180 degrees.
What is the Maximum number of right angles in a polygon?
The maximum number of right angles in a polygon is determined by the formula (n-2), where n represents the number of sides in the polygon. A polygon with n sides can have a maximum of (n-3) right angles, as the sum of interior angles in a polygon is given by (n-2) * 180 degrees. Since a right angle measures 90 degrees, the maximum number of right angles in a polygon is limited by the total number of interior angles.
What is a polygon with four equal sides and 4 angles with no right angles?
A rhombus would fit the given description.
