If you try to solve these, PLEASE check your work to see that you are correct. I really want to get both of these problems 100% correct. Also, please show all your work, even if it is a simple addition problem like 100+2.
Thank you!
If you try to solve these, PLEASE check your work to see that you are correct. I really want to get both of these problems 100% correct. Also, please show all your work, even if it is a simple addition problem like 100+2.
Thank you!
The sum of angles of a n-polygon is $\displaystyle (n-2)180^{\circ}$.
The sum of angles of a pentagon is $\displaystyle 540^{\circ}$. If the pentagon is regular, then each angle is $\displaystyle 108^{\circ}$.
The sum of angles of a hexagon is $\displaystyle 720^{\circ}$. If the hexagon is regular, then each angle is $\displaystyle 120^{\circ}$.
Then $\displaystyle \widehat{BAE}=108^{\circ},\widehat{EAL}=120^{\circ }\Rightarrow \widehat{BAL}=\widehat{KLA}=360^{\circ}-120^{\circ}-108^{\circ}=132^{\circ}$.
$\displaystyle \widehat{ABK}=\frac{360^{\circ}-2\cdot 132^{\circ}}{2}=48^{\circ}$
CaptainBlack, I'm sorry if my post came off as offensive. It wasn't meant to be read like that, but now in hindsight, I can see how it can be taken in the wrong way.
Most of the time when I'm doing a math problem (especially easier ones), I have a tendency to rush, often making silly mistakes. If the problem involves more than one step, this often leads me to a wrong conclusion, one that I probably could've gotten right if I slowed down.
Since most people on this forum are very accomplished in the field of mathematics I assumed that a problem that is difficult to me, a 15 year old, would be easy for them. This might have led them to a wrong conclusion, one which could in turn provide a wrong answer. If I too made the same mistake while looking over the problem, I would have gotten the question wrong.
Also regarding the note on showing work: people often think in differently. When looking over the equation, it's hard to follow, causing me to not understand their thought process. My 100+2 example was just an extreme example used to get my point across.
Please understand that I am not usually this haste (or rude) --it's just that these problems are very important to me; I've spent 30 minutes trying to solve each of them, and so far I came to no avail. This is for an extra credit assignment that I need, and since nobody in my family is strong in geometry, I was basically on my own.