which angles are congruent to each other?\n$\\angle 2$ and $\\angle 6$\n$\\angle 6$ and $\\angle…

Explanation:

Step1: Identify the relationship between $\angle 2$ and $\angle 6$

$\angle 2$ and $\angle 6$ are corresponding angles formed by a transversal.

Step2: Identify the relationship between $\angle 6$ and $\angle 8$

$\angle 6$ and $\angle 8$ are vertical angles, which are always congruent.

Step3: Identify the relationship between $\angle 4$ and $\angle 6$

$\angle 4$ and $\angle 6$ are alternate exterior angles.

Step4: Identify the relationship between $\angle 6$ and $\angle 3$

$\angle 6$ and $\angle 3$ are consecutive interior angles, which are supplementary.

Step5: Determine congruence based on parallel lines

Assuming the two lines intersected by the transversal are parallel. $$ \angle 2 \cong \angle 6, \angle 6 \cong \angle 8, \angle 4 \cong \angle 6 $$

Answer:

$\angle 2$ and $\angle 6$ $\angle 6$ and $\angle 8$ $\angle 4$ and $\angle 6$