Question

how many sides does a regular polygon have if the measure of one interior angle is 144

Answer 1

10

Answer 2

thanks do you have the work please ?

Answer 3

okay so there's this formula to help you solve for the measurement of angles in equilateral polygons it goes like this;
(n-2)*180

n stands for the number of sides so you could write it like this before solving it (n-2)*180=144

Answer 4

\[\frac{ 180(n-2) }{ n }=144.\]
Solve for n

Answer 5

then solve for n

Answer 6

thanks a lot

Answer 7

You are welcome

Answer 8

no problem!

Answer 9

Well you can also derive the formula tayromo used. Try it and you will get a great deal of improvement in geometry

Answer 10

can you slove it for me im still lost my teacher never thought us anything and finals are coming up :(

Answer 11

Its no problem

Answer 12

See the following figure:

Answer 13

yes

Answer 14

Now here is one way to approach this problem:

(1) You have to remember this property:

Sum of exterior angles in a polygon is always equal to 360 degree

Answer 15

Do you remember this one ?

Answer 16

yes

Answer 17

Gud

Answer 18

Now, let every interior angle be say x and number of sides be n.

Now, since it is a regular polygon so every interioir angle will be equal. Right ?