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MATH / Triangle ABC has angle bisectors (AD)¯, (BE)¯, and (CF)¯. Given that ∠EDF=90^(∘), enter all possible values of ∠BAC (in degrees), separated by commas.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Triangle ABCABC has angle bisectors AD¯,\overline{AD}, BE¯,\overline{BE}, and CF¯.\overline{CF}. Given that ∠EDF=90∘,\angle EDF = 90^\circ, enter all possible values of ∠BAC\angle BAC (in degrees), separated by commas.
Plain-text mathematical notation (without MathML)
Triangle ABC has angle bisectors (AD)¯, (BE)¯, and (CF)¯.  Given that ∠EDF=90^(∘), enter all possible values of ∠BAC (in degrees), separated by commas.
Original LaTeX notation
Triangle $ABC$ has angle bisectors $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$  Given that $\angle EDF = 90^\circ,$ enter all possible values of $\angle BAC$ (in degrees), separated by commas.

level

Level 5

type

Precalculus

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Source and history

task_id
0609f886-eac0-5c67-b5ff-d90c38178cdc
task_key
precalculus--test--0609f886-eac0-5c67-b5ff-d90c38178cdc
task_revision_id
1
config / split
precalculus / test

Official source

initial import