Please help!!!!!!!

Question

Please help!!!!!!!

anonymous · Answer

attachment

tkhunny · Answer

Add up all those angles to get 180º.  See if anything pops out.

anonymous · Answer

what do you mean pops out?

tkhunny · Answer

Did you do it?  What value did you find for x?

anonymous · Answer

well i dont need to find those, i just need to know what point d is

tkhunny · Answer

You should get a slightly more adventurous spirit.  Please find x and find the measures of all those angles.  This will lead you to your solution.  Seriously, will it hurt you to give it a try?  This is my third effort to get you to have a little faith and try a little work.  Find x.  Why on earth would the problem statement go to all that trouble to label all those angles if the information were not needed to solve the problem.  One or two hints might be a smokescreen, but six?  Find x.  Trust me on this.

dan815 · Answer

hahahhaha kids these days!!

dan815 · Answer

leximakayla needs some asian beatings to get working

anonymous · Answer

ooo

dan815 · Answer

=]

anonymous · Answer

alright x = 6 .

dan815 · Answer

that was fast you are very smart :)

tkhunny · Answer

The measures of the two anges at B are...?

anonymous · Answer

64

tkhunny · Answer

That is correct, but that doesn't quite help.  The measure of each one is...?

anonymous · Answer

32

tkhunny · Answer

Perfect.  The $\overline{BD}$ is an Angle Bisector.  True?

anonymous · Answer

true

anonymous · Answer

@tkhunny

tkhunny · Answer

What do you know about Angle Bisectors and Points on the Interior of a Triangle?

anonymous · Answer

angle bisectors plit the lines into two equal parts

anonymous · Answer

split

tkhunny · Answer

No, angle bisectors split ANGLES into two equal parts.

Triangles have a few "centers".  These are the four things listed in the answer choices.  Which on of these four things is found by the intersection of the Angle Bisectors?

anonymous · Answer

is it the centroid?

tkhunny · Answer

THAT is an excellent question.  You just need some definitions:

Orthocenter comes from Altitudes
Centroid comes from Medians
Circumcenter comes from Perpendicular Bisectors of Sides
Incenter comes from Angle Bisectors

Note: Depending on the triangle, some of these may be the same.

Prove that $\overline{AD}$ and $\overline{CD}$ are Angle bisectors.  This will demonstrate an Incenter.

tkhunny · Answer

Also, great work just hanging in there.  There was a little chatter on this thread.

anonymous · Answer

thank you for explaining the differences to me! it helped a lot!