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JulijaS [17]
3 years ago
10

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

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

Answer:

<h2>m∠WEV = 84°</h2>

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                   <em>subtract 7 from both sides</em>

5x = 8x - 21               <em>subtract 8x from both sides</em>

-3x = -21              <em>divide both sides by (-3)</em>

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°

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