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12) Find mZVUT if mZVUT = 10x +9, m_BUT = 7x - 1, and mZVUB= 37º.
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12) Find mZVUT if mZVUT = 10x +9,
m_BUT = 7x - 1, and mZVUB= 37º.

User Thanos Tintinidis
by
4.7k points

1 Answer

1 vote

Answer:

99°

Explanation:

  • m∠VUT = 10x + 9
  • m∠BUT = 7x - 1
  • m∠VUB = 37°
  • m∠VUT = ?

We see that

  • m∠VUT = m∠BUT + m∠VUT
  • 10x + 9 = 7x - 1 + 37
  • 10x - 7x = 36 - 9
  • 3x = 27
  • x = 9

Angle VUT measures:

  • 10x + 9 = 10*9 + 9 = 99°
User Pratski
by
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