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}

A.) {2}

B.) {5,7}

C.) {2,5,7}

D.) {2,6,8}

E.) {1,2,3,5,6,7,8}

∠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**