Suppose line AB is parallel to line MN.Name all angles congruent to angle 8.

In the figure at the right, x is parallel to y.List all angles that are congruent to angle 1.
If the measure of angle 5 is 45 degrees, what are the measures of the other angles.
This is on page 472 in the Prentice Hall Mathematics pre-algebra 7th grade book. Please answer ASAP!!!! thanks!

To find angles that are congruent to a given angle, we need to work with parallel lines and transversals. In your first question, you mentioned that line AB is parallel to line MN. Without a diagram, I can't provide specific angles, but I can explain how to find them.

If line AB is parallel to line MN, we can consider another line that intersects these two parallel lines. This line is called a transversal. Let's call this transversal line "l". When a transversal intersects two parallel lines, it forms eight angles.

To identify the angles congruent to angle 8, we can follow these steps:
1. Identify angle 8 on the diagram.
2. Look for other angles formed by the transversal "l" and lines AB and MN.
3. Compare the sizes of these angles to angle 8. If any angle is of equal size or congruent to angle 8, list it.

Similarly, for your second question, where x and y are parallel lines, follow the steps below to find angles congruent to angle 1:
1. Identify angle 1 on the diagram.
2. Look for other angles formed by the transversal intersecting lines x and y.
3. Compare the sizes of these angles to angle 1. If any angle is of equal size or congruent to angle 1, list it.

Regarding your third question, without a specific diagram, it is not possible to determine the exact measures of the other angles based solely on the information given. However, if angle 5 is known to be 45 degrees, it is likely that the other angles will be supplementary or complementary to angle 5, depending on the given figure.

If angle 5 is part of a pair of supplementary angles, then the sum of angle 5's measure and its supplementary angle will be 180 degrees. If angle 5 is part of a pair of complementary angles, then the sum of angle 5's measure and its complementary angle will be 90 degrees.

Please note that for more specific answers, referring to the diagram on page 472 of the Prentice Hall Mathematics pre-algebra 7th-grade book would be essential.