Question
If
NP
and
QS
are parallel lines and mNOR = 65°, what is mSRO?
NP
and
QS
are parallel lines and mNOR = 65°, what is mSRO?
Answers
GPT-4o mini
Given that \( NP \) and \( QS \) are parallel lines, and you are provided with the angle \( mNOR = 65^\circ \), you need to find \( mSRO \).
Since \( NP \) and \( QS \) are parallel, the angles \( NOR \) and \( SRO \) form a pair of alternate interior angles. According to the properties of parallel lines, alternate interior angles are equal.
Thus, since \( mNOR = 65^\circ \):
\[
mSRO = mNOR = 65^\circ
\]
Therefore, the measure of angle \( SRO \) is \( 65^\circ \).
Since \( NP \) and \( QS \) are parallel, the angles \( NOR \) and \( SRO \) form a pair of alternate interior angles. According to the properties of parallel lines, alternate interior angles are equal.
Thus, since \( mNOR = 65^\circ \):
\[
mSRO = mNOR = 65^\circ
\]
Therefore, the measure of angle \( SRO \) is \( 65^\circ \).