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Which of these angle pairs are congruent because they are corresponding angles?A.2 and 5B.2 and 3C.2 and 4D.2 and 6SUBMITarrow_backPREVIOUS

Question

Which of these angle pairs are congruent because they are corresponding angles?

A. 2 and 5
B. 2 and 3
C. 2 and 4
D. 2 and 6

SUBMIT
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Solution

To identify congruent angles due to their correspondence, it's essential to understand the concept of corresponding angles. When two parallel lines are intersected by a transversal, the angles in matching positions (corresponding angles) are congruent.

Identifying Corresponding Angles

  1. Angle Pair A: 2 and 5 - Generally, if angle 2 and angle 5 lie in the same position at the intersection of a transversal with two parallel lines, they are corresponding angles.

  2. Angle Pair B: 2 and 3 - If angle 2 is located in a different relative position compared to angle 3, they would not be corresponding angles.

  3. Angle Pair C: 2 and 4 - Determine their positions. If angle 4 directly corresponds with angle 2's position concerning the parallel lines and the transversal, they are congruent.

  4. Angle Pair D: 2 and 6 - Similar to the above, check if angle 6 is in the same position as angle 2.

Conclusion

Based on the typical angle arrangement in a transversal cutting across two parallel lines, Angle Pair A (2 and 5) is likely the pair that are congruent because they are corresponding angles.

Visual confirmation with a diagram would further solidify which pairs are indeed corresponding.

This problem has been solved

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