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Homework - Tuesday 4/23/24
Lines
Classify each pair of angles as atternate interior, atternate exterior, or corresponding.


/_3 and 
/_6

/_7 and 
/_3

/_5 and 
/_4

/_8 and 
/_1

/_2 and 
/_6

/_2 and 
/_7

Homework - Tuesday 44/2323/2424\newlineLines\newlineClassify each pair of angles as atternate interior, atternate exterior, or corresponding.\newline11. 3 \angle 3 and 6 \angle 6 \newline22. 7 \angle 7 and 3 \angle 3 \newline33. 5 \angle 5 and 4 \angle 4 \newline44. 8 \angle 8 and 1 \angle 1 \newline55. 2 \angle 2 and 6 \angle 6 \newline66. 2 \angle 2 and 7 \angle 7

Full solution

Q. Homework - Tuesday 44/2323/2424\newlineLines\newlineClassify each pair of angles as atternate interior, atternate exterior, or corresponding.\newline11. 3 \angle 3 and 6 \angle 6 \newline22. 7 \angle 7 and 3 \angle 3 \newline33. 5 \angle 5 and 4 \angle 4 \newline44. 8 \angle 8 and 1 \angle 1 \newline55. 2 \angle 2 and 6 \angle 6 \newline66. 2 \angle 2 and 7 \angle 7
  1. Identify angles positions: Identify the positions of angles 3\angle_3 and 6\angle_6 in relation to the transversal and parallel lines; they are on opposite sides of the transversal and inside the parallel lines.
  2. Determine alternate interior angles: Since 3\angle 3 and 6\angle 6 are on opposite sides of the transversal and inside the parallel lines, they are alternate interior angles.
  3. Analyze same side angles: Look at the positions of angles 7\angle 7 and 3\angle 3; they are on the same side of the transversal and one is inside the parallel lines while the other is outside.
  4. Identify corresponding angles: Since 7\angle 7 and 3\angle 3 are on the same side of the transversal and one is inside while the other is outside the parallel lines, they are corresponding angles.
  5. Check same side angles: Check the positions of angles /5/_5 and /4/_4; they are on the same side of the transversal and inside the parallel lines.
  6. Determine alternate interior angles: Since 5\angle 5 and 4\angle 4 are on the same side of the transversal and inside the parallel lines, they are alternate interior angles.
  7. Examine opposite side angles: Examine the positions of angles /8/_8 and /1/_1; they are on opposite sides of the transversal and outside the parallel lines.
  8. Determine alternate exterior angles: Since 8\angle 8 and 1\angle 1 are on opposite sides of the transversal and outside the parallel lines, they are alternate exterior angles.
  9. Analyze same side angles: Look at the positions of angles 2\angle 2 and 6\angle 6; they are on the same side of the transversal and one is inside the parallel lines while the other is outside.
  10. Check opposite side angles: Since 2\angle 2 and 6\angle 6 are on the same side of the transversal and one is inside while the other is outside the parallel lines, they are corresponding angles.
  11. Check opposite side angles: Since 2\angle 2 and 6\angle 6 are on the same side of the transversal and one is inside while the other is outside the parallel lines, they are corresponding angles.Check the positions of angles 2\angle 2 and 7\angle 7; they are on opposite sides of the transversal and outside the parallel lines.
  12. Check opposite side angles: Since 2\angle 2 and 6\angle 6 are on the same side of the transversal and one is inside while the other is outside the parallel lines, they are corresponding angles.Check the positions of angles 2\angle 2 and 7\angle 7; they are on opposite sides of the transversal and outside the parallel lines.Since 2\angle 2 and 7\angle 7 are on opposite sides of the transversal and outside the parallel lines, they are alternate exterior angles.

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