Lines MN and GH are parallel. If m<V is 41°, then what is m<W?
Since lines MN and GH are parallel, angles V and W are corresponding angles. Corresponding angles are congruent when two parallel lines are intersected by a transversal.
Therefore, m<W = 41°.
To find the measure of angle W, we need to use the fact that lines MN and GH are parallel. When a transversal intersects two parallel lines, the alternate interior angles are congruent.
In this case, angle V and angle W are alternate interior angles. Since we know the measure of angle V is 41°, we can conclude that angle W is also 41°.
Therefore, the measure of angle W is 41°.
Since lines MN and GH are parallel, the angle <V and <W are corresponding angles. Corresponding angles formed by a transversal with parallel lines are congruent.
So, if m<V is 41°, then m<W is also 41°.