In the diagram, lines m and n are parallel. If m∠2 = 150°, find the measure of the angle.
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OpenStudy (anonymous):
OpenStudy (anonymous):
∠4 = ?
Directrix (directrix):
What type of angles are angles 4 and 2 with respect to two parallel lines cut by a transversal. You need to know that to select the theorem that gives the numerical relationship between the two angles.
OpenStudy (anonymous):
Thanks
Directrix (directrix):
@Infinyte What did you get for the answer? What kind of angles are angles 2 and 4?
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OpenStudy (anonymous):
that would mean that its 150 right?
OpenStudy (anonymous):
sorry, 120
OpenStudy (anonymous):
they're obtuse
Directrix (directrix):
Yes, it would mean that its 150 right?
Angles 2 and 4 are corresponding angles formed by a transversal that cuts two parallel lines.
Theorem (Postulate in some texts) : If two parallel lines are cut by a transversal, corresponding angles are congruent.
Bottom Line: They have the same measure.
Directrix (directrix):
@Infinyte
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