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The angles marked in the figure above are measured in degrees. Find x?

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The angles marked in the figure above are measured in degrees. Find x?

The angles marked in the figure above are measured in degrees. Find x?

A. 20°

B. 36°

 C. 15°

D. 30°

QUICK ANSWER…

D

DETAILS…

The sum of all the external angles of any polygon with any number of sides = 360°

Applying this, we have:

2x + x + 5x + 3x + x = 360

Solving for x, we have:

(2 + 1 + 5 + 3 + 1)x = 360

12x = 360

x = 360/12 = 30°

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is not correct.
  4. D is the correct answer. 360/12 = 30°
RELATED!  The sum of the interior angles of a polygon is given as 1080°...

KEY-POINTS…

You may please note these/this:

  • Sum of all the external angles of a regular polygon = 360°
  • Sum of all the internal angles of a regular polygon = 180(n – 2), where n = number of sides.
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/ culled from 2020 JAMB-UTME mathematics past question 12 /

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