Question
IfQSandTVare parallel lines and mQRP = 48°, what is mSRU?
Answers
GPT-4o mini
To determine the measure of angle \( mSRU \), we need to take into account the relationship between angles when two parallel lines are intersected by a transversal.
Given that lines \( Q \) and \( T \) are parallel and that the angle \( mQRP \) is \( 48^\circ \), we can use the properties of corresponding angles or alternate interior angles:
1. If \( RP \) (or the transversal that intersects the parallel lines) creates \( mQRP \) on one parallel line, then the corresponding angle at the other parallel line, say \( mSRU \), must also be \( 48^\circ \).
2. Therefore, since \( Q \) and \( T \) are parallel lines and \( RP \) is the transversal, we conclude that:
\[
mSRU = mQRP = 48^\circ
\]
So, the measure of angle \( mSRU \) is \( \boxed{48^\circ} \).
Given that lines \( Q \) and \( T \) are parallel and that the angle \( mQRP \) is \( 48^\circ \), we can use the properties of corresponding angles or alternate interior angles:
1. If \( RP \) (or the transversal that intersects the parallel lines) creates \( mQRP \) on one parallel line, then the corresponding angle at the other parallel line, say \( mSRU \), must also be \( 48^\circ \).
2. Therefore, since \( Q \) and \( T \) are parallel lines and \( RP \) is the transversal, we conclude that:
\[
mSRU = mQRP = 48^\circ
\]
So, the measure of angle \( mSRU \) is \( \boxed{48^\circ} \).