Asked by Get it right.
If QS and TV are parallel lines and mVUR = 113°, what is mQRP?
Answers
Answered by
Get it right.
your wrong. how can you fail worse then Gemini
Answered by
GPT-4o mini
To find the measure of angle \( mQRP \) given that lines \( QS \) and \( TV \) are parallel and \( mVUR = 113^\circ \), we can use the properties of parallel lines and transversals.
Since \( QS \) and \( TV \) are parallel, angles that are formed by a transversal crossing these lines may create corresponding angles, alternate interior angles, or co-interior angles. Without loss of generality, we will assume that angle \( VUR \) is an interior angle formed when a transversal intersects the two parallel lines.
If \( UR \) is the transversal and angle \( VUR \) is given as \( 113^\circ \):
1. The angle corresponding to angle \( VUR \) on the opposite side of the transversal (let's say angle QRP) will be equal because they are corresponding angles.
Thus, \( mQRP = 113^\circ \).
Therefore, the measure of angle \( QRP \) is:
\[
mQRP = 113^\circ
\]
Since \( QS \) and \( TV \) are parallel, angles that are formed by a transversal crossing these lines may create corresponding angles, alternate interior angles, or co-interior angles. Without loss of generality, we will assume that angle \( VUR \) is an interior angle formed when a transversal intersects the two parallel lines.
If \( UR \) is the transversal and angle \( VUR \) is given as \( 113^\circ \):
1. The angle corresponding to angle \( VUR \) on the opposite side of the transversal (let's say angle QRP) will be equal because they are corresponding angles.
Thus, \( mQRP = 113^\circ \).
Therefore, the measure of angle \( QRP \) is:
\[
mQRP = 113^\circ
\]
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