Question

What is the sum of the angle measures in a 22-gon? 360° 2,200° 3,600° 3,960°

Answer 1

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:

$\tetx{Sum} = (n-2) \times 180^{\circ}$        ....[1]

As per the statement:

Given that:

n = 22-gon

Substitute in [1] we have;

$\text{Sum} = (22-2) \times 180^{\circ}$

⇒$\text{Sum} = 20 \times 180^{\circ}$

⇒$\text{Sum} =3600^{\circ}$

Therefore, the sum of the interior angles measures in a 22-gon is, 3600°