Q:

et bisects angle wev angle tew = (5x+7)º and angle tev = (8x-14)º what is angle wev

Accepted Solution

A:
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 sides5x = 8x - 21               subtract 8x from both sides-3x = -21              divide both sides by (-3)x = 7m∠WEV = m∠TEW + m∠TEVCalculate 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°