Question 100

Each interior angle of a regular polygon is greater than its exterior angle by $$36^\circ$$. Find the number of sides of the polygon.

Solution

In the regular polygon, interior angle (IA) = exterior angle (EA) + 36, or

EA = IA - 36.

But IA + EA = 180, or

2 IA -36 = 180

2IA = 216,

IA = 108 deg and EA = 72 deg

Number of sides of regular polygon = 360/72 = 5.

B is correct choice.

Create a FREE account and get:

Download RRB Study Material PDF
45+ RRB previous papers with solutions PDF
300+ Online RRB Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Probability, Combinatorics Questions CAT Data Sufficiency Questions CAT Averages, Ratio and Proportion Questions CAT Quadratic Equations Questions CAT Time Speed Distance Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournamnents Questions CAT Quant Based DI Questions CAT Truth Lie Concept Questions CAT Puzzles Questions CAT Data Interpretation Basics Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning Questions CAT Para Summary Questions CAT Miscellaneous Questions CAT Vocabulary Questions CAT Para Jumbles Questions

Follow us on

Boost your Prep!

Download App