To identify the pairs of corresponding angles, we need to recall that corresponding angles are formed when two parallel lines are crossed by a transversal. Corresponding angles are located in the same relative position at each intersection.
In this scenario, the lines r and s are parallel, and lines t and u are the transversals. Let's label the angles based on the given intersections:
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At the intersection of r and t:
- Angle 1 (top left, clockwise)
- Angle 2 (top right)
- Angle 3 (bottom right)
- Angle 4 (bottom left)
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At the intersection of s and t:
- Angle 5 (top left)
- Angle 6 (top right)
- Angle 7 (bottom right)
- Angle 8 (bottom left)
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At the intersection of u and s:
- Angle 9 (top left)
- Angle 10 (top right)
- Angle 11 (bottom right)
- Angle 12 (bottom left)
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At the intersection of u and r:
- Angle 13 (top left)
- Angle 14 (top right)
- Angle 15 (bottom right)
- Angle 16 (bottom left)
Now, we wish to find the angles that are corresponding to angle 8 (which is located at the intersection of s and t).
Since angle 8 is located at the bottom left of intersection s and t, we need to find the angle that is also at the bottom left position at another intersection.
- At the intersection of r and t, the bottom left angle is angle 4.
- At the intersection of u and s, the bottom left angle is angle 12.
- At the intersection of u and r, the bottom left angle is angle 16.
Thus:
- Angle 4 corresponds to angle 8
- Angle 12 corresponds to angle 8
From the options provided:
- Angle 4 and Angle 12 are both the corresponding angles with angle 8.
So, the answer is: Angle 4 and Angle 12.
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