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The angles of a regular polygon are given by 2x…

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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:

  1. Option A is correct.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is not the correct answer.
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QUICK TIPS…

You may please note these/this:

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

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/culled from 2019 JAMB-UTME mathematics question 37 /

The angles of a regular polygon are given by 2x... » QuizTablet
The angles of a regular polygon are given by 2x... » QuizTablet

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