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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

Sagot :

GinnyAnsweridn
To solve this problem, we need to understand the relationships formed when a pair of parallel lines is intersected by a transversal.

When two parallel lines are cut by a transversal, several types of angle relationships are created:
- Corresponding angles
- Alternate interior angles
- Alternate exterior angles
- Consecutive (or same-side) interior angles

Corresponding angles are pairs of angles that are in similar positions at each intersection where the transversal intersects the parallel lines.

Given that one of the angles measures 43°, let's identify which set of angles can measure 43° through one of the known angle relationships.

Let's focus on corresponding angles, which are equal when two parallel lines are intersected by a transversal. If we identify angle 1 as 43°, the angles that are also 43° because they correspond to angle 1 are angles 3 and 5.

Therefore, the group of angles measuring 43° are:

C. angles 1, 3, 5
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