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SSAT Upper Level
Quantitative (Math)

Angle Relationships with Parallel Lines and a Transversal

Very Hard Geometry And Measurement Lines And Angles

In a geometric configuration, two parallel lines, line PQ and line RS, are cut by a transversal line XY. The angle formed between line PQ and line XY is denoted as angle 1, which measures 65 degrees. Angle 2, located on the opposite side of the transversal and same side of line PQ, is adjacent to angle 1. Additionally, angle 3 is formed on the opposite side of line XY from angle 1 but is located within the transversal configuration. What is the measure of angle 3?

Use the properties of parallel lines and the relationships between angles created by a transversal to determine your answer.

Hint

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