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5. circle back review questions: 7. find the value of x. vertical angle…

Question

  1. circle back review questions:
  2. find the value of x.

vertical angles and linear pairs determine whether the angles are
vertical angles, a linear pair, or neither.

  1. ∠5 and ∠6
  2. ∠5 and ∠9
  3. ∠5 and ∠8
  4. ∠6 and ∠9
  5. ∠8 and ∠9
  6. ∠5 and ∠7

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(12x - 8=40\).

Step2: Solve the equation for \(x\)

Add \(8\) to both sides: \(12x=40 + 8\), so \(12x=48\).
Divide both sides by \(12\): \(x=\frac{48}{12}\).

Answer:

\(x = 4\)