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.

# Fact 1:

**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.

__Solution__

Let the four exterior angles be x^{0} each.

The sum of the five exterior angles = 360^{0}

Hence one of the other exterior angles is 75^{0}

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**Worked Example 2**

Find the value of (x+y)^{0} in the diagram below.

__Solution__

The diagram is an irregular polygon. The fact still holds.

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