# The sum of the interior angles of a polygon is given as 1080°…

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**The sum of the interior angles of a polygon is given as 1080°, find the number of sides of the polygon.**

**A. 5**

**B. 6**

**C. 7**

**D. 8**

**QUICK ANSWER…**

**D**

**SOLUTION****… **** **

**There is a specific formula for calculating the sum of the interior angles of a polygon, it is given as follows:**

**Sum of interior angles = 180(n – 2)**

**Where n = number of sides.**

**Hence, we have:**

**1080 = 180(n – 2)**

**(n – 2) = 1080/180**

**n – 2 = 6**

**therefore, n = 6 + 2 = 8**

**the polygon has 8 sides.**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is incorrect.****C is incorrect.****D is the correct answer.**

**QUICK TIPS…**

**You may please note the****se/this****:**

**Always remember that while the sum of exterior angles of a polygon = 360 degrees, the sum of all internal angles of any polygon = 180(n – 2), where n = number of sides.**

**You are free to add your own answers below this page to assist others improve their learning.**

**You can also click the golden ASK A QUESTION BOTTON down this page to raise new related questions… OUR COMMUNITY OF EXPERTS WILL BE MORE THAN HAPPY TO TACKLE IT…**

**/ culled from 2016 JAMB-UTME mathematics past question 7 /**

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