Question

If BT ≅ EU , BU ≅ ET , prove: ∠B ≅ ∠E.

Answer 1

$\begin{cases}BT\approx EU \\BU\approx ET\end{cases}$

If $B\approx E$ then

$\begin{cases}BT\approx BU \\BU\approx BT\end{cases}$

Or simply

$BU\approx BT$

Since $BU\approx BT$ we obtain that $U\approx T$ hence $B\approx E$ must apply for the aproximity to stand.

Hope this helps.