Question

1. The following table gives the sum of the angles of a polygon in right angles and the
number of sides of the polygon. Plot the points and from the graph answer the
questions that follow:
Member of sides in)
3
4
6.
10
09
S
16
(a) What is the sum of the angles of a polygon of 5 sides?
(b) What is the sum of the angles of a polygon of 12 sides?
(c) How many sides has a polygon whose angles add upto 12 right angles?
(d) How many sides has a polygon whose angles add upto 1260°​

Answer 1

Answer:

a)Sum of Interior Angles of a Polygon

A pentagon has five sides, thus the interior angles add up to 540°

b)Sum of interior angles of a polygon = 180

(n−2)

When n=12

Sum of interior angles of a polygon = 180

(n−2)=180

(12−2)=1800

c)Our polygon with 150 degree interior angles (and 30 degrees exterior angles) has 12 sides. By the way, a geometric figure with 12 sides is called a dodecagon.

d)We know that sum of interior angles of a regular polygon is (n - 2) * 180. (1) Given sum of interior angles = 1260. n = 9. Therefore the number of sides