Question

which of these angles is not congruent to angle 5? angle 8 angle 6 angle 4 angle 1

Explanation:

Step1: Recall angle - congruence rules for parallel lines.

When two parallel lines are cut by a transversal, vertical angles are congruent, corresponding angles are congruent, and alternate - interior angles are congruent. Angle 5 and angle 8 are vertical angles, so $\angle5\cong\angle8$. Angle 5 and angle 1 are corresponding angles, so $\angle5\cong\angle1$. Angle 5 and angle 4 are alternate - interior angles, so $\angle5\cong\angle4$.

Step2: Analyze angle 6.

Angle 5 and angle 6 are adjacent angles that are supplementary (they form a linear pair), so $\angle5+\angle6 = 180^{\circ}$ and $\angle5
ot\cong\angle6$.

Answer:

Angle 6