Question

"Q6 (a) What is the minimum interior angle possible for a regular polygon? Why?

(b) What is the maximum exterior angle possible for a regular polygon?


Understanding Quadrilateral page no. 44"​

Answer 1

Answer:

the minimum interior angle possible for a regular polygon is 60 degree because triangle is the polygon with minimum number of sides and an equilateral triangle is a regular polygon because all sides are equal in this.

we know that all angle of equilateral triangle measures 60 degree.the 60 degree is the possible minimum interior angle for a regular polygon.

the maximum exterior angle possible for a regular polygon is 120 degree

Answer 2

a)A regular have polygon has equal angles and

equal sides.

Also, as we increase the number of sides in the polygon, the interior angle will decrease.

b)Exterior angles of a polygon are formed when by one of its sides and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees.Each exterior angle of an equilateral triangle is 120 degrees and hence this the maximum possible value of the exterior angle of a regular polygon. This can also be proved by another principle; which states that each exterior angle of a regular polygon is equal to 360 divided by the number of sides in the polygon. If 360 is divided by 3, we get 120. So 120 degrees the highest exterior angle for a regular polygon.