Lines MN and GH are parallel. If m<S is 38°, then what is m<Y?

Since lines MN and GH are parallel, this means that m<S = m<Y. Therefore, m<Y = 38°.

To determine the measure of angle Y, we need more information about the relationship between angle S and angle Y. Could you please provide any additional information or describe the diagram in more detail?

To find the measure of <Y, we need to use the angle relationships formed by parallel lines and a transversal.

Given that lines MN and GH are parallel and that m<S is 38°, we know that <S is an alternate interior angle to <Y.

According to the alternate interior angles theorem, alternate interior angles are congruent when two parallel lines are intersected by a transversal.

Therefore,
m<Y = m<S = 38°

So, the measure of <Y is 38°.