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Middle/High School Algebra, Geometry, and Statistics (AGS)
6.3 Problems on Exterior Angles of a Regular Polygon - II

Example:
If the measure of each exterior angle of a regular polygon is 90, find the number of sides.
Solution:
Each exterior angle of a regular polygon of 'n' sides = 4/n rt.angles.
\ 4/n * 90 = 90
n = (90/90)*4.
n = 4.
\ The number of sides = 4.

Example:
The measure of each exterior angle of a regular polygon is 45. How many sides does the polygon have ?
360/n = 45
45n = 360
n = 8
The polygon has 8 sides.


Directions: Solve the following problems. Also write at least five examples of your own.
Q 1: If each exterior angle of a regular polygon is 72, find the number of sides
Answer:

Q 2: If each exterior angle of a regular polygon is 60, find the number of sides
Answer:

Q 3: If each exterior angle of a regular polygon is 45, find the number of sides
Answer:

Q 4: If each exterior angle of a regular polygon is 40, find the number of sides
Answer:

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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