Interior Angle of a Regular Polygon with 'N' number of sides

Question of The Day28-12-2020

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

Answer

Correct Answer : c ) 162⁰

Explanation :

Sum of exterior angle = 360⁰

Thus,

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

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

Thus,

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.

Read Daily Current Affairs, Banking Awareness, Hindi Current Affairs, Word of the Day, and attempt free mock tests at PendulumEdu and boost your preparation for the actual exam.