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

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QuizTablet Community! • A. 30°
• B. 31°
• C. 26°
• D. 48°

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…

• 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.

/culled from 2019 JAMB-UTME mathematics question 37 /

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