11) What is the sum of the measures of the interior angles of a 14-sided polygon?

a) 1,980
b) 2160
c) 2520
d) 2880

Respuesta :

Your answer is b) 2160°.


This is because we can use the formula (n - 2) × 180 where n is the number of sides, as this formula is used to determine the sum of interior angles. This gives us:


(14 - 2) × 180 = 12 × 180 = 2160


I hope this helps!

Answer: Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Number of sides that polygon has = 14

We need to find the sum of measures of the interior angles.

As we know that

Sum of measures of interior angles is given by

[tex](n-2)\times 180^\circ\\\\=(14-2)\times 180^\circ=12\times 180^\circ=2160^\circ[/tex]

Hence, Option 'b' is correct.