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3 years ago

11

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

1 answer:

Elina [12.6K]3 years ago

4 0

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°

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