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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?
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:
- Option A is incorrect.
- Option B is incorrect.
- C is not correct.
- D is the correct answer. 360/12 = 30°
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 /