Question

The polygon Angle-Sum Theorem states:The sum of the measures of the angles of an n-gon is
a.)n-2/180
b.)(n-1)180
c.)180/n-1
d.)(n-2)180

Answer 1

we have used this theorem many times, don't you recall it? Which one do you think it is?

Answer 2

would it be where (n-2)180??

Answer 3

Yes,

Answer 4

so id would be d??

Answer 5

so it would be d??

Answer 6

Yes, it is D.

Answer 7

okay can you help me on my last question??

Answer 8

you are going to have a good Sunday... you are done already :D

Answer 9

sure, Y-not

Answer 10

Find the missing values of the variables. The diagram is not drawn to scale


a.)x=124;y=125
b.)x=56;y=114
c.)x=114;y=56
d.)x=56;y=124

Answer 11

124 is that angle next to y?

Answer 12

yes

Answer 13

1) 124 and y are supplementary angles, saying that 124+y=180
Can you solve for ?
(this is just step 1)

Answer 14

I meant to say, can you solve for y
(knowing that 180=y+124)

Answer 15

so you take minus 124 from both sides so you you'd get y=56??

Answer 16

oh and then x would be 114??

Answer 17

yes, correct. y=56
And then we can apply our favorite rule that your lesson is (probably) about.
We have a 4-gon

Answer 18

\(\large\color{blue}{ (4-2)180=125+65+56+x }\)

\(\large\color{blue}{360=246+x }\)

\(\large\color{blue}{x=114 }\)

Answer 19

You are totally correct, I was just checking....

Answer 20

Thank you so much for your help :)

Answer 21

Have fun :)