In the figure, line segment VR is parallel to line segment US and m<1 = 45 degrees what is m<4?

The measure of ∠4 is 45°.
Solution:
Line segment VR is parallel to the line segment US.
m∠1 = 45°
∠1 and ∠4 are corresponding angles.
If two lines are parallel, then the corresponding angles are congruent.
m∠1 = m∠4
45° = m∠4
m∠4 = 45°
The measure of ∠4 is 45°.