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GATE 2021 AG – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

Find the interior angle of a regular10-sided polygon in degrees.

  1. 396
  2. 324
  3. 216
  4. 144

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Correct answer: (D) 144

Explanation

The sum of interior angles is $(n-2)180^\circ$. Divide equally among n=10 vertices: $8(180)/10=\mathbf{144^\circ}$, **D**. The corresponding exterior angle is 36°, and the pair sums to 180°.

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