Answer:
Option 3rd is correct
the sum of the interior angles measures in a 22-gon is, 3600°
Step-by-step explanation:
Sum of the interior angles of a polygon of n -sides is given by:
[tex]\tetx{Sum} = (n-2) \times 180^{\circ}[/tex] ....[1]
As per the statement:
Given that:
n = 22-gon
Substitute in [1] we have;
[tex]\text{Sum} = (22-2) \times 180^{\circ}[/tex]
⇒[tex]\text{Sum} = 20 \times 180^{\circ}[/tex]
⇒[tex]\text{Sum} =3600^{\circ}[/tex]
Therefore, the sum of the interior angles measures in a 22-gon is, 3600°
