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

Example:
Find the measure of each of the exterior angle of a regular polygon of 5 sides.
Solution:
Given that, n = 5 sides
Each exterior angle of a regular polygon on 'n' sides = 4/n rt.angles or 360/n.
= 4/5 * rt.angles
= 4/5 * 90 degrees
= 4 * 18 degrees
= 72 degrees.

Example:
Find the measure of each exterior angle of a regular hexagon.
A hexagon has 6 sides, so n = 6
The measure of each exterior angle of a regular hexagon = 360/60 = 60
= 60 degrees


Directions: Solve the following probelms. Also write at least ten examples of your own.
Q 1: Find each of the exterior angle of a regular polygon of 10 sides.
40 degrees
36 degrees
50 degrees

Q 2: Find the measure of each of the exterior angle of a regular polygon of 12 sides.
30 degrees
35 degrees
40 degrees

Q 3: Find the measure of each of the exterior angle of a regular polygon of 9 sides.
40 degrees
45 degrees
50 degrees

Q 4: Find the measure of each of the exterior angle of a regular polygon of 6 sides.
70 degrees
80 degrees
60 degrees

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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