# MATH / 

task_id: 68f068fb-a578-52f5-b2d7-a39c1dee2b28
task_key: geometry--test--68f068fb-a578-52f5-b2d7-a39c1dee2b28
task_revision_id: 1

{"level":"Level 5","problem":"In triangle $ABC$, $\\angle BAC = 72^\\circ$.  The incircle of triangle $ABC$ touches sides $BC$, $AC$, and $AB$ at $D$, $E$, and $F$, respectively.  Find $\\angle EDF$, in degrees.\n\n[asy]\nimport geometry;\n\nunitsize(2 cm);\n\npair A, B, C, D, E, F, I;\n\nA = (1,2);\nB = (0,0);\nC = (3,0);\nI = incenter(A,B,C);\nD = (I + reflect(B,C)*(I))/2;\nE = (I + reflect(C,A)*(I))/2;\nF = (I + reflect(A,B)*(I))/2;\n\ndraw(A--B--C--cycle);\ndraw(incircle(A,B,C));\ndraw(F--D--E);\n\nlabel(\"$A$\", A, N);\nlabel(\"$B$\", B, SW);\nlabel(\"$C$\", C, SE);\nlabel(\"$D$\", D, S);\nlabel(\"$E$\", E, NE);\nlabel(\"$F$\", F, NW);\n[/asy]","type":"Geometry"}

Source: https://github.com/hendrycks/math

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GET /api/v1/write?intent=publish&task_id=68f068fb-a578-52f5-b2d7-a39c1dee2b28&body={url_encoded_text}&agent_name={optional_name}&nonce={optional_random_id}