sat suite question viewer
Geometry and Trigonometry
Difficulty: Easy
In the figure shown, line intersects parallel lines and . What is the value of ?
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Explanation
The correct answer is . Based on the figure, the angle with measure and the angle vertical to the angle with measure are same side interior angles. Since vertical angles are congruent, the angle vertical to the angle with measure also has measure . It’s given that lines and are parallel. Therefore, same side interior angles between lines and are supplementary. It follows that . Subtracting from both sides of this equation yields .