Question

2. Find the number of sides of a polygon if
the sum of the interior angles is
a) 10 right angles
b) 720°
d) 540°
c) 1620°​

Answer 1

Answer:

a) 7

b) 6

c) 5

d) 11

Step-by-step explanation:

a) 10 right angles = 900 degree

sum of interior angles of a polygon =(n-2)*180

where n is the number of sides

900=(n-2)*180

n-2=900/180=5

n=7

b)

applying the same formula,

(n-2)*180=720

n-2=720/180=4

n=6

c)

again (n-2)*180=540

n-2=540/180=3

n=5

d)

(n-2)*180=1620

n-2=1620/180=9

n=11

n is the number of sides in each case, hence the answer