Answer:
a. n = 13
b. n = 17
Step-by-step explanation:
n = number of sides
Formula of the sum of the measure of the interior angle: (n - 2)(180)
a. (n - 2)(180) = 1980
Distribute 180 to (n - 2):
180n - 360 = 1980
Add 360 to both sides (to isolate 180n):
180n - 360 + 360 = 1980 + 360
Combine like terms:
180n = 2340
Divide 180 to both sides (to isolate n):
[tex] \frac{180n}{180} = \frac{2340}{180}[/tex]
n = 13
b. (n - 2)(180) = 2700
Distribute 180 to (n - 2):
180n - 360 = 2700
Add 360 to both sides (to isolate 180n):
180n - 360 + 360 = 2700 + 360
Combine like terms:
180n = 3060
Divide 180 to both sides (to isolate n):
[tex] \frac{180n}{180} = \frac{3060}{180} [/tex]
n = 17
