Lines cut by a transversal {ACT}

Lines a and b are parallel lines cut by a transversal,c, as shown below.  If c is not perpendicular to a and b, which of the following is the set of all labeled angles that have the same measure as ∠4 ?

A.) {2}
B.)  {5,7}
C.)  {2,5,7}
D.)  {2,6,8}
E.)  {1,2,3,5,6,7,8}

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∠2 is a vertical angle with ∠4   {vertical angles are equal}
∠6 is an alternate interior angle with ∠4   {alternate interior angles are equal}
∠8 is a corresponding angle with ∠4   {corresponding angles are equal}

∠2, ∠6, and ∠8 have the same measure as ∠4

D.)

- Algebra House