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Omni-MATH / In △ABC, points E and F are on AB and BC, respectively, such that AE=BF and BE=CF. If ∠BAC=70^(∘), what is the measure of ∠ABC?

Problem

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problem

In △ABC\triangle ABC, points EE and FF are on ABAB and BCBC, respectively, such that AE=BFAE = BF and BE=CFBE = CF. If ∠BAC=70∘\angle BAC = 70^{\circ}, what is the measure of ∠ABC\angle ABC?
Plain-text mathematical notation (without MathML)
In △ABC, points E and F are on AB and BC, respectively, such that AE=BF and BE=CF. If ∠BAC=70^(∘), what is the measure of ∠ABC?
Original LaTeX notation
In $\triangle ABC$, points $E$ and $F$ are on $AB$ and $BC$, respectively, such that $AE = BF$ and $BE = CF$. If $\angle BAC = 70^{\circ}$, what is the measure of $\angle ABC$?

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Source and history

task_id
a80c2368-6d44-58b7-ae8a-0bf14f76b29c
task_key
test--a80c2368-6d44-58b7-ae8a-0bf14f76b29c
task_revision_id
1
config / split
/ test

Official source

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