To determine which angles are alternate interior angles with angle 3, we first need to understand the arrangement and properties of alternate interior angles formed by two parallel lines (r and s) cut by a pair of transversals (t and u).
- Angle 3 is located at the intersection of line r and line t.
- The corresponding alternate interior angle in this configuration will be positioned on the opposite side of the transversal t, with respect to line s.
Now, let's analyze the provided angles based on their positions:
- Angle 3 is at the top-left intersection (r and t).
- Angle 5 is at the intersection of line s and line t (above angle 3).
- Angle 7 is at the intersection of line s and line t (to the right of angle 5).
- Angle 6 is below angle 5 on the left side of line t.
- Angle 8 is below angle 7 on the right side of line t.
- Angle 9 is at the intersection of line u and line s.
- Angle 10 is to the right of angle 9.
- Angle 11 is below angle 10 on line u.
- Angle 12 is below angle 11 on line u.
- Angle 13 is at the intersection of line u and line r (right of angle 3).
- Angle 14 is below angle 13 on line u.
- Angle 15 is below angle 14 on line u.
- Angle 16 is below angle 15 on line u.
By the properties of alternate interior angles:
- The angles that are alternate interior to angle 3 must be in positions such that they are formed by the same transversal (line t) but under the other parallel line (line s).
Thus:
- Angle 6 (below angle 5) and Angle 16 (below angle 15) must be alternate interior angles with angle 3.
Hence, the pairs of angles we analyze:
- Angle 6 and Angle 16 are alternate interior angles with angle 3.
Therefore, the correct option is: Angle 6 and Angle 16.
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