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13, 119°, (-3x + 143)° with two intersecting lines (arrows indicating l…

Question

13, 119°, (-3x + 143)° with two intersecting lines (arrows indicating lines)

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so \(119^\circ = (-3x + 143)^\circ\).

Step2: Solve for \(x\)

Set up the equation: \(119 = -3x + 143\)
Subtract 143 from both sides: \(119 - 143 = -3x\)
Simplify: \(-24 = -3x\)
Divide both sides by -3: \(x = \frac{-24}{-3} = 8\)

Answer:

\(x = 8\)