A regular polygon has 9 sides. What is the size of one of its exterior angles?

Assessment: WAEC SSCE - General Mathematics - 2005 (Objective) Subject: General Mathematics

Question 1 Report

A regular polygon has 9 sides. What is the size of one of its exterior angles?
Answer Details
The sum of the exterior angles of any polygon is 360 degrees. In a regular polygon, all the exterior angles have the same measure, so to find the measure of one exterior angle, we divide 360 by the number of sides. For a regular polygon with 9 sides, each exterior angle has a measure of 360/9 = 40 degrees. Therefore, the answer is option (B), 40o. To summarize, the measure of one exterior angle of a regular polygon with 9 sides is 40 degrees, since the sum of the exterior angles is 360 degrees and they are all equal in measure.
Read lesson note on Triangles And Polygons (WAEC)
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