5. (b) Can it be an interior angle of a regular polygon? Why?

Answers (1)

 The measure of an interior angle is 22°

Regular polygon has all interior angles equal.

Let number of sides and number of interior angles be n.

Sum of interior angles of a polygon = \left ( n-2 \right )\ast 180\degree

Sum of interior angles of a polygon =  \left ( n-2 \right )\ast 180\degree=\left ( n \right )\ast 22\degree

                                                            \left ( n \right )\ast 180\degree-\left ( 2 \right )\ast 180\degree=\left ( n \right )\ast 22\degree

                                                             \left ( n \right )\ast 180\degree-\left ( n \right )\ast 22\degree= 360\degree

                                                                                 \left ( n \right )\ast 158\degree= 360\degree

                                                                                                n = 2.28

Number of sides of a polygon should be integer but since it is not a integer .So, it cannot be an regular polygon with interior angle as 22\degree

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions