if $m\\angle wyt = 108^{\\circ}$, then what is $m\\angle uyv$?

$if $m\\angle wyt = 108^{\\circ}$, then what is $m\\angle uyv$?$

if $m\angle wyt = 108^{\circ}$, then what is $m\angle uyv$?

$\angle WYT$ and $\angle 4$ are supplementary, so $m\angle WYT + m\angle 4 = 180^\circ$

$m\angle 4 = 180^\circ - 108^\circ = 72^\circ$

$\angle UYV$ and $\angle 4$ are vertical angles, so $m\angle UYV = m\angle 4$

$72^\circ$