Question

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

Answer 1

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°.