If the question is: If the exterior angle of a regular polygon is 45 degrees, how many sides does the polygon have? then the answer is:
the sum of the exterior angles of any convex polygon is 360
so 360/45 = 8
Each exterior angle measures 8 degrees
b
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
If each interior angle is 171 degrees then each exterior angle is 180-171 = 9 degrees. Sum of all exterior angles (irrespective of number of sides) is 360 degrees So number of sides = 360/9 = 40
To determine the number of sides in a polygon, you can use the formula for finding the measure of an exterior angle: 360 degrees divided by the number of sides. In this case, if the exterior angle is 22.5 degrees, you would divide 360 by 22.5 to get 16. Therefore, the polygon has 16 sides.
Each exterior angle: 72 degrees Each interior angle: 108 degrees
It will have 10 sides and each interior angle measures 144 degrees while each exterior angle measures 36 degrees
If the exterior angle is 18 degrees then it will have 20 sides.
If the exterior angle is 45 degrees then it will have 8 sides
Each exterior angle measures 8 degrees
Each exterior angle will measure 11.25 degrees.
60 degrees
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
Each exterior angle measures 20 degrees Each interior angle measures 160 degrees
It has 32 sides and each interior angle measures 168.75 degrees and so 180-168.75 = 11.25 degrees which is the measure of each exterior angle
Each exterior angle of a square measures 90 degrees
to find the the exterior angle, divide 360 degrees by the number of sides. so the answer is 15 degrees.