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How can you determine the sum of the interior angles of a hexagon justify your answer?
The sum of the interior angles of any n-sided figure is (2n - 4) right angles.
When n = 6 this equates to 8 x 90 ie 720o.
Consider an n-sided polygon. From any point A inside the polygon draw a straight line to each vertex, thus creating n triangles. (As the final formula is based on right angles, we work on right angles from here.)
Each triangle contains 180o, ie two right angles, so the sum of the angles of all the triangles is 2n right angles. The angles round the point A form a complete revolution, ie 360o, which is four right angles, which are not part of the interior angles of the polygon.
These interior angles therefore total (2n -4) right angles.
What else can I help you with?
How many interior angles does a hexagon have?
A hexagon has six interior angles.
What is the total of an Hexagon interior angles?
The measures of the interior angles of a hexagon add up to 720 degrees.
What is the sum of a interior angles of a hexagon?
All interior angles of a 6 sided hexagon add up to 720 degrees
What is the sum of the measures of the interior angles of a 6 sided hexagon?
The interior angles of a hexagon add up to 720 degrees
What kind of angles are in a regular hexagon?
All the interior angles in a hexagon are 120 degree's, making them obtuse angles.
Does a hexagon have interior angles?
yes a hexagon does have interior angles......
How many interior angles does a hexagon have?
A hexagon has six interior angles.
What is the total of an Hexagon interior angles?
The measures of the interior angles of a hexagon add up to 720 degrees.
What is the sum of the measures of the interior angles of a 6 sided hexagon?
The interior angles of a hexagon add up to 720 degrees
What is the sum of a interior angles of a hexagon?
All interior angles of a 6 sided hexagon add up to 720 degrees
What is the angle sum of a hexagon?
The 6 interior angles of a hexagon add up to 720 degrees.
Interior angles of hexagon?
The total. sum of the interior angles of a hexagon are 720 degrees.
What kind of angles are in a regular hexagon?
All the interior angles in a hexagon are 120 degree's, making them obtuse angles.
What polygon of the interior angles is 720?
a hexagon has 720* in its interior.
What is total angle measurement of interior angles in a hexagon?
The 6 interior angles of a 6 sided hexagon add up to 720 degrees
How many acute angles does a hexagon have?
A regular six-sided hexagon has no interior acute angles, but it does have six interior obtuse angles, each measuring 120 degrees
What is the sum of the measures of the interior angles of a hexagon?
The sum of the interior angles of a hexagon is 720 degrees. 6-2=4 4 multiplied by 180 is 720 the answer is 720 To determine how many degrees the angles of any polygon you can use the equation (n-2) * 180 = degrees Where n = number of sides.
