Answer :
Given two parallel lines L₁ and L₂, and corresponding angles of 74 degrees and x degrees, the equation to solve is x = 74. The result is x = 74 degrees, using the property of parallel lines and corresponding angles (option a).
In this geometry problem, the student is given that lines L₁ and L₂ are parallel, and two angle measures, 74 degrees and x degrees are corresponding angles. From the properties of parallel lines, we know that corresponding angles are equal when lines are parallel. So, in this case, x should equal 74 degree.
Therefore, x = 74.
The primary technique used to solve this problem was understanding the properties of parallel lines and how they impact corresponding angles. Always remember, two lines are parallel if a pair of corresponding angles are equal.
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