Question

find the m∠uve if m∠evw = 77 and m∠uvw = 178.
m∠uve =

Explanation:

Step1: Identify angle - relationship

We know that $\angle{UVW}=\angle{UVE}+\angle{EVW}$.

Step2: Solve for $\angle{UVE}$

By re - arranging the formula, we get $\angle{UVE}=\angle{UVW}-\angle{EVW}$.
Substitute $\angle{EVW} = 77^{\circ}$ and $\angle{UVW}=178^{\circ}$ into the formula: $m\angle{UVE}=178 - 77$.
$m\angle{UVE}=101$.

Answer:

$101$