Problem
2000 AMC 8 Problem 13
In triangle CAT, we have \angle ACT = \angle ATC and \angle CAT = 36^\circ. If \overline{TR} bisects \angle ATC, then \angle CRT =
![[asy] pair A,C,T,R; C = (0,0); T = (2,0); A = (1,sqrt(5+sqrt(20))); R = (3/2 - sqrt(5)/2,1.175570); draw(C--A--T--cycle); draw(T--R); label("$A$",A,N); label("$T$",T,SE); label("$C$",C,SW); label("$R$",R,NW); [/asy]](/static/aops/c4b609451f269142963f5f523e25d97c932e07d4.png)
\text{(A)}\ 36^\circ \qquad \text{(B)}\ 54^\circ \qquad \text{(C)}\ 72^\circ \qquad \text{(D)}\ 90^\circ \qquad \text{(E)}\ 108^\circ
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