Lines MN and GH are parallel. If m<R is 130°, then what is m<Z?

To determine the measure of angle Z, we need to apply the corresponding angles theorem, which states that if two parallel lines are intersected by a transversal, then the corresponding angles are congruent.

Since lines MN and GH are parallel, angle R and angle Z are corresponding angles. Therefore, m<Z = m<R = 130°.

To find the measure of angle Z, we need to use the property of parallel lines. When a transversal intersects two parallel lines, the corresponding angles formed are congruent. In this case, angle R and angle Z are corresponding angles. Since we are given the measure of angle R (m<R = 130°), we can determine the measure of angle Z.

To find m<Z, we can use the corresponding angles property:
m<Z = m<R = 130°

Therefore, the measure of angle Z is 130°.

To find the measure of angle Z, we need more information about the relationship between angles R and Z. The given information that lines MN and GH are parallel does not provide any direct information about angle Z.

If there is more information or any other angles given, please provide it so that I can assist you further in finding the measure of angle Z.