##### Admin

**The angles of a regular polygon are given by 2x, 5x, x, and 4x respectively. The value of x is**

- A.
**30°** - B.
**31°** - C.
**26°** - D.
**48°**

**QUICK ANSWER…**

**A**

**SOLUTION****… **** **

**The general formula used to calculate the sum of the total angles in a regular polygon of any number of sides is:**

**sum of total internal angles = 180(n – 2)**

**Where n = number of sides or number of angles, which is 4** **in this case,**

**Applying this, we have:**

**2x + 5x + x + 4x = 180(4 – 2)**

**12x = 180(2)**

**12x = 360**

**Therefore, x = 360/12 = 30°**

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

**Option A is correct.****Option B is incorrect.****C is incorrect.****D is not the correct answer.**

**QUICK TIPS…**

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

**The total number of sides is always equal to the total number of angles in any regular polygon.**

**Use the ****questions and answer section to correct, express, ****and contribute your views.**

**You can also FREELY share this page with friends.**

**/culled from 2019 JAMB-UTME mathematics question 37 /**

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