In a triangle ABC where <A=120 degrees, Q and P are points on BC such that BP=BA and CQ=CA, where Q lies between B and P. Prove that <PAQ=30 degrees.
I really could use a lot of help on this one.
Hello, TheNcredibleHulk!
Did you make a sketch?
In triangle where and are points on
such that: and , where lies between and
Prove that: .Code:B o * * * * * θ * * * Q * o P * o * * * * * * o * * * * * o C A
Draw line segment .
Let . . . Then
In isosceles
. .
In isosceles
. .
In
Therefore: .