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20. if alternate interior angles formed by parallel lines and a transve…

Question

  1. if alternate interior angles formed by parallel lines and a transversal are (3x)° and (2x +35)°, what is the value of x? 35 degrees 30 degrees 45 degrees 40 degrees

Explanation:

Step1: Set up the equation

Since alternate interior angles are equal, we have \(3x = 2x+35\).

Step2: Solve the equation

Subtract \(2x\) from both sides: \(3x - 2x=2x + 35-2x\). So \(x = 35\).

Answer:

35 degrees