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6. what is your answer to the last question on the video (image on the …

Question

  1. what is your answer to the last question on the video (image on the left)?

a. ∠1 and ∠4, ∠2 and ∠3, ∠8 and ∠5
b. ∠1 and ∠8, ∠2 and ∠7, ∠3 and ∠6
c. ∠1 and ∠7, ∠2 and ∠8, ∠4 and ∠6
d. ∠1 and ∠3, ∠2 and ∠4, ∠8 and ∠6

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

  • Option A: These are not corresponding angles.
  • Option B: These are vertical angles.
  • Option C: These are not corresponding angles.
  • Option D: $\angle1$ and $\angle3$, $\angle2$ and $\angle4$, $\angle8$ and $\angle6$ are in the same relative position (corresponding angles).

Answer:

D. $\angle1$ and $\angle3$, $\angle2$ and $\angle4$, $\angle8$ and $\angle6$