The figure shown has two parallel lines cut by a transversal:Which angle is a corresponding angle to ∠6?Group of answer choices∠7∠8∠3∠2

To determine which angle is a corresponding angle to ∠6, we need to understand the concept of corresponding angles in the context of parallel lines cut by a transversal.

Step 1: Definitions

1. Corresponding Angles: When two parallel lines are cut by a transversal, the angles in matching corners (same position) relative to the parallel lines are called corresponding angles.

Step 2: Analyze the Figure

Without the figure to reference, we can outline the relative positions:

• If we position ∠6, we can identify where corresponding angles would be in relation to two parallel lines and the transversal.

Step 3: Identify Matching Angle

1. If ∠6 is above the first line and to the left of the transversal:

   • The corresponding angle would be the angle that is also above the second parallel line and to the left of the transversal.

2. If ∠6 is in a different position: Other angles will be considered.

Step 4: Answer the Question

• Based on the provided options:
  • If we assume the configuration follows usual conventions, ∠2 would be the corresponding angle to ∠6 if ∠2 is in the same position respective to the second parallel line.

Final Answer

Therefore, the angle that is a corresponding angle to ∠6 is likely ∠2.