If a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer.

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Sample Response:

Six pairs of vertical angles are formed, two for each line crossed by the transversal.

Step-by-step explanation:


Not every angle is the same. When the cross sequence crosses two parallel lines, the appropriate angles are congruent. If the cross-sectional lines are not parallel, the corresponding angles are not consistent but in no way related.

  • There are six pairs of vertical angles, with 2 crossed for each line.

           OR

  • Each crossing of a line produces two pairs of vertical angles and is[tex]3 \times 2 = six[/tex] pair for three transvestites across the same line (or 12 angles).

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