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Select the correct answers.A pair of parallel lines is cut by a transversal. Which group of angles measures 43°? A. angles 1, 2, 3 B. angles 2, 5, 4 C. angles 1, 3, 5 D. angles 5, 6, 7 E. angles 3, 4, 6

Question

Select the correct answers.A pair of parallel lines is cut by a transversal. Which group of angles measures 43°? A. angles 1, 2, 3 B. angles 2, 5, 4 C. angles 1, 3, 5 D. angles 5, 6, 7 E. angles 3, 4, 6

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Solution 1

Without a diagram, it's difficult to definitively answer this question. However, based on the typical numbering of angles in this type of geometry problem, the correct answer is likely C. angles 1, 3, 5.

Here's why:

When a pair of parallel lines is cut by a transversal, it creates several pairs of congruent (equal measure) angles.

  1. Corresponding angles: These are angles in the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, corresponding angles are equal.

  2. Alternate interior angles: These are angles that are inside the parallel lines, and on opposite sides of the transversal. If the lines are parallel, alternate interior angles are equal.

  3. Alternate exterior angles: These are angles that are outside the parallel lines, and on opposite sides of the transversal. If the lines are parallel, alternate exterior angles are equal.

So, if angles 1, 3, and 5 are either corresponding, alternate interior, or alternate exterior angles, they would all measure 43°.

This problem has been solved

Solution 2

Without a diagram, it's difficult to definitively answer this question. However, based on the typical numbering of angles in this type of problem, the correct answer is likely C. angles 1, 3, 5.

Here's why:

When a pair of parallel lines is cut by a transversal, it creates several pairs of congruent (equal measure) angles.

  1. Corresponding angles: These are in the same position on each parallel line in relation to the transversal. If angle 1 measures 43°, then angle 5, its corresponding angle on the other parallel line, would also measure 43°.

  2. Alternate interior angles: These are on opposite sides of the transversal and inside the parallel lines. If angle 1 measures 43°, then angle 3, its alternate interior angle, would also measure 43°.

So, if angle 1 measures 43°, then angles 3 and 5 would also measure 43°. Therefore, the correct answer is likely C. angles 1, 3, 5.

This problem has been solved

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