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they are angles that are wierd and dont make angles that are angles to 360 degrees and make non-angles to make angles
Exterior angles: 360 degrees Interior angles: 720 degrees
you can make a working model of any polygons. first,draw any polygons (triangle,pentagon,hexagon etc....)and also draw its interior angles and exterior angles (note the polygons sum of the angles). then cut its exterior angles.then bring the all exterior angles(after the cut) togather.now you can make a circle. its means , the sum of the exteriorangles of any polygon =sum of the angles of a circle (360 degree = 360 degree)
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
When all sides are equal and all interior and exterior angles are equal.
An 8 sided shape which is an octagon has 8 interior angles that add up to 1080 degrees and its 8 exterior angles add up to 360 degrees.
exterior angles always add up to 360 degrees, but 'exterior angle' refers to the angle that is made when you continue one of the lines. eg a square has 4 sides, make one of them longer so you end up with a thing like below, and the exterior angle is the one that's not 180 degrees. if you don't get it its quite hard to explain without a proper diagram, so Google pictures exterior angles im sure youll find something. _ |_|_
No? Wouldn't they then be supplementary? Opposite rays make a straight angle/line, and if the exterior sides made the straight angle, the adjacent angles would be supplementary. ...Right?
There are as many interior and exterior angles as there are sides (the line segments that make up the polygon. The sum of each pair of exterior angle and interior angle is 180 degrees, i.e. they are supplementary. For concave polygons, there will be at least one "negative" exterior angle paired with an interior angle of greater than 180 degrees - the total of the angles is still 180 degrees.
The interior angles total up to 180 degrees and the exterior angles total up to 360 degrees.
Draw lines a little futher than the original lines and you will notice that there is an angles on a straight line question. Measure with a protractor or if not drawn to scale divide 360 by 9. if answering on a straight line then make sure it adds up to 180 degrees. With the 360 divided by 9, the bigger angle should be the interiorangle and the smaller the exterior. The exterior angles should all add up to 360 degrees!
To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.