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INTERIOR ANGLES
OK, here's a geometry lesson for you. This rule works for shapes with any amount of sides, as long as they are equilateral (all sides and angles the same).
All the interior (inside) angles follow a linear sequence of adding 180, starting with a triangle (3 sides) adding up to 180, a square (4 sides) adding up to 360, a pentagon (5 sides) adding up to 540, a hexagon (6 sides) adding up to 720 etc.
So, for example, to work out the interior angles of a Hendecagon (11 sides) It would be 180 + 180 + 180 + 180 + 180 + 180 + 180 + 180 + 180 (or 180 x 9) = 1620. REMEMBER to subtract 2 from the number of angles THEN multiply by 180. This may sound confusing, but it is because this doesn't work for 1 and 2 sided shapes. That is why, in the Hendecagon (11 sides) example, it was 180 x 9.
Now to work out the angles. In many cases it could be easier just to learn them, (trianlge, 60, square, 90 etc etc etc) but, again, you can still work out what you don't know. Lets take our friend the Hendecagon (11 sides). As before, 9 x 180 = 1620. You then simply divide this number by the original number (before you subtracted 2) So, 1620 divided by 11 = 147.2727272727 (rounded to 147.3). So, the INTERIOR angle of a Hendecagon is 147.3o
EXTERIOR (out side) ANGLES:Once you know the INTERIOR ANGLE, working out the exterior is EASY! 360 minus Interior = Exterior. So, with our Hendecagon, 360 minus 147.3 = 212.7.Summary - Number of sides (11) minus 2 (9) x 180 (1620) divided by original number (11) equals INTERIOR ANGLE (147.3)
360 - INTERIOR ANGLE (147.3) equals EXTERIOR ANGLE (212.7)
Remember to write the o symbol!
How do you work out interior and exterior angles
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Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
What are the interior and exterior angles of a heptagon?
The interior angles can have any value in the range (0, 360) except 180 degrees and the same for the exterior angles. The only constraint is that the sum of the exterior angles is 360 degrees.
What is the sum of interior angles and exterior angle of a pentagon?
Interior angles add up to 540 degrees Exterior angles add up to 360 degrees
Which polygon has the larger exterior angle triangle or heptagon?
Interior Angles of a Triangle: 60 Exterior Angles of a Triangle: 120 Interior Angles of a Heptagon 128 (approx) Exterior Angles of A Heptagon 52 (approx) Answer: Triangle
What is The sum of the exterior angles of a docegon?
I think its this.... Find the interior. Then do 180 - the interior. That is the exterior. * * * * * The correct answer is that the sum of the exterior angles of any polygon is always 360 degrees.
Interior and exterior angles of triangles?
Interior angles are 180 degrees Exterior angles are 360 degrees
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
Work out the exterior and interior angles of a regular polygon with 8 sides?
Each exterior angle 45 degrees Each interior angle 135 degrees
What is relationship between exterior angles and opposite interior angles of a triangle?
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
What are the interior and exterior angles of a heptagon?
The interior angles can have any value in the range (0, 360) except 180 degrees and the same for the exterior angles. The only constraint is that the sum of the exterior angles is 360 degrees.
What is the sum of interior angles and exterior angle of a pentagon?
Interior angles add up to 540 degrees Exterior angles add up to 360 degrees
What are alternate exterior angles?
they are angles that are usually parallel and that crossed the line that are oppsite from each other
Which polygon has the larger exterior angle triangle or heptagon?
Interior Angles of a Triangle: 60 Exterior Angles of a Triangle: 120 Interior Angles of a Heptagon 128 (approx) Exterior Angles of A Heptagon 52 (approx) Answer: Triangle
What is The sum of the exterior angles of a docegon?
I think its this.... Find the interior. Then do 180 - the interior. That is the exterior. * * * * * The correct answer is that the sum of the exterior angles of any polygon is always 360 degrees.
What is the relationship between exterior and opposite interior angles?
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.
What is the difference between the sum of the exterior angles to the interior angles?
The exterior angles always, in any shape, add up to 360. The interior angles sum depends on the number of sides.
