What is the measure of each exterior angle of a regular decagon? 

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 3)
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  1. 30° 
  2. 60° 
  3. 45° 
  4. 36° 

Answer (Detailed Solution Below)

Option 4 : 36° 
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Detailed Solution

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Given:

We need to find the measure of each exterior angle of a regular decagon.

Formula Used:

Each exterior angle of a regular polygon = 360º / number of sides

Calculation:

Number of sides in a regular decagon = 10

Each exterior angle = 360º / 10

⇒ Each exterior angle = 36º

The measure of each exterior angle of a regular decagon is 36º.

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