Task 1269
Task 1269: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Equilateral triangle $ABC$ and square $BCDE$ are coplanar, as shown. What is the number of degrees in the measure of angle $CAD$? asy size(70); draw((0,0)--(20,0)--(20,20)--(0,20)--cycle)…
The task
Equilateral triangle $ABC$ and square $BCDE$ are coplanar, as shown. What is the number of degrees in the measure of angle $CAD$? [asy] size(70); draw((0,0)--(20,0)--(20,20)--(0,20)--cycle); draw((0,20)--(10,37.3)--(20,20)); draw((10,37.3)--(20,0)); label("$A$",(10,37.3),N); label("$B$",(0,20),W); label("$C$",(20,20),E); label("$D$",(20,0),E); label("$E$",(0,0),W); [/asy]