Question

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

Answer 1

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°