Incenters. (Geometry) Have to find measures. Picture being uploaded.

Question

karatechopper · Answer

I am trying to fine AU. And Angle ARU. I think i have what i need for AU. Just need some confirmation.

karatechopper · Answer

Since TA is 20. I started thinking about the Bisecting thing. And I am saying that AU is also 20. Because KP bisects in Angle TAU

karatechopper · Answer

...Am i right on that?

hartnn · Answer

yes, AU is 20, but how did u prove it ?

karatechopper · Answer

Well i kind of thought through it. Since the lesson is about Bisectors. I gave a thought that angle TAU was being bisected by KP. And if angle TAU was being bisected, and TA was 20; then AU must also be 20.

hartnn · Answer

that can be proved by proving triangles congruent
just saying will not be enough IF u need to show your work.

hartnn · Answer

else reasoning is correct

karatechopper · Answer

Ok! And how should i figure out what the measure of angle ARU is? I am stuck there.

hartnn · Answer

thats even simpler, AR bisects angle R

karatechopper · Answer

OH!!! SO then 40 degrees?

hartnn · Answer

yup :)

karatechopper · Answer

Yuuuss thanks!!

hartnn · Answer

welcome ^_^