Respuesta :

Answer:

NVU =150

Step-by-step explanation:

WVN + NVU = WVU

We know NVU = 2x+150  and WVU = x+176  and WVN = 26

Substituting these in

26+ 2x+150 = x+176

Combine like terms

176+2x= x+176

Subtract 176 from each side

176-176+2x= x+176-176

2x=x

Subtract x from each side

2x-x = x-x

x=0

NVU = 2x+150

        0+150

NVU =150

gmany

m∠WVU = m∠NVU + m∠WVN

We have m∠WVU = x + 176, m∠NVU = 2x + 150 and m∠WVN = 26°. Substitute:

x + 176 = (2x + 150) + 26

x + 176 = 2x + (150 + 26)

x + 176 = 2x + 176         subtract 176 from both sides

x = 2x        subtract x from both sides

0 = x

m∠NVU = 2x + 150 → m∠NVU = 2(0) + 150 = 0 + 150 = 150

Answer: m∠NVU  = 150°