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13) 2x + 5° x + 59° type: ____ x = ____

Question

  1. 2x + 5° x + 59° type: __ x = __

Explanation:

Step1: Identify angle - relationship

Assume the two angles are corresponding angles (since they are in a parallel - lines and transversal setup, and corresponding angles are equal). So we set up the equation $2x + 5=x + 59$.

Step2: Solve the equation for x

Subtract x from both sides: $2x - x+5=x - x + 59$, which simplifies to $x+5 = 59$. Then subtract 5 from both sides: $x+5 - 5=59 - 5$.

Answer:

Type: Corresponding angles
$x = 54$