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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.** 20Â°

**B.** 36Â°

**Â C.**Â 15Â°

**D.** 30Â°

**QUICK ANSWERâ€¦**

**D**

**DETAILSâ€¦**

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

**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 = 30Â°**

**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 = 30Â°**

**KEY-POINTSâ€¦**

**You may please note these/this:**

**Sum of all the external angles of a regular polygon = 360Â°****Sum of all the internal angles of a regular polygon = 180(n â€“ 2), where n = number of sides.****If you love our answers, you can login to comment and say hi to us at the comment sectionâ€¦**

**To raise new related question****s, c****lick the ASK A QUESTION BOTTON down this pageâ€¦**

**/ culled from 2020 JAMB-UTME mathematics past question 12 /**