The secret to performing well in any competitive examination is the ability to recall facts about topics and applying those facts to solve both simple and challenging questions. I will teach you the polygon facts and tricks you need to score higher marks in your WASSCE and other competitive exams.
The sum of the exterior angles of any polygon is 3600
This is true whether the polygon is regular or not.
Worked Example 1
Four of the exterior angles of a pentagon are the same. The fifth angle is 60°. Calculate the size of one of the other exterior angles.
Let the four exterior angles be x0 each.
The sum of the five exterior angles = 3600
Hence one of the other exterior angles is 750
Worked Example 2
Find the value of (x+y)0 in the diagram below.
The diagram is an irregular polygon. The fact still holds.