Answer:
m∠WEV = 84°
Step-by-step explanation:
If ET bisects angle WEV, then m∠TEW = m∠TEV.
We have:
m∠TEW = (5x + 7)° and m∠TEV = (8x - 14)°.
Substitute:
5x + 7 = 8x - 14 subtract 7 from both sides
5x = 8x - 21 subtract 8x from both sides
-3x = -21 divide both sides by (-3)
x = 7
m∠WEV = m∠TEW + m∠TEV
Calculate the measures of each angle:
m∠TEW = (5x + 7)° → m∠TEW = (5 · 7 + 7)° = 42°
m∠TEV = (8x - 14)° → m∠TEV = (8 · 7 - 14) = 42°
CORRECT :)
m∠WEV = 2 · 42° = 84°
