Task 214
Task 214: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. In isosceles triangle $ABC$, angle $BAC$ and angle $BCA$ measure 35 degrees. What is the measure of angle $CDA$? asy import olympiad; import geometry; size(125); defaultpen(linewidth(0.8))…
The task
In isosceles triangle $ABC$, angle $BAC$ and angle $BCA$ measure 35 degrees. What is the measure of angle $CDA$? [asy] import olympiad; import geometry; size(125); defaultpen(linewidth(0.8)); draw(circle((0,0),1)); dot("$F$",(0,0),dir(-90)); pair A = dir(160), B = dir(110), C = dir(40), D = dir(10); draw(A--D--C--A--B--C); label("$A$",A,W); label("$B$",B,N); label("$C$",C,E); label("$D$",D,E); [/asy]