Question of The Day28-12-2020

If a regular polygon has 20 sides, then what is the value of each interior angle?


Correct Answer : c ) 1620

Explanation :

Sum of exterior angle = 3600


Each exterior angle=\(360^0\over 20\)=180

Sum of each exterior angle and interior angle will be equal to 1800


Value of each interior angle = 1800 – 180 = 1620

Hence, (c) is the correct answer.

Basic Approach

We know,

Sum of interior angle of polygon having n sides =\((n-2)×180^0\)

Each interior angle=\((n-2)×180^0\over n\)

⇒Each interior angle=\((20-2)×180^0\over20\)=18×90=1620

Hence, (c) is the correct answer.

Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.

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