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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
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°