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OpenStudy (anonymous):
Directrix (directrix):
Angle 2 is vertical with which angle shown on the attachment?
OpenStudy (anonymous):
1??
Directrix (directrix):
No. Angle 2 and Angle 1 are not vertical angles.
OpenStudy (anonymous):
dont understand lol
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Directrix (directrix):
Here is an informal definition of vertical angles.
Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect.
OpenStudy (anonymous):
so 4?
Directrix (directrix):
Yes. That means that angle 2 and angle 4 have the same measure because vertical angles are congruent.
OpenStudy (anonymous):
ok
Directrix (directrix):
With regard to parallel lines, what kind of angles are angle 4 and angle 1?
Look at the diagram before answering.
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Directrix (directrix):
Corresponding angles, alternate interior angles, same-side interior angles --> which one of these terms describes angles 4 and 1?
OpenStudy (anonymous):
angle 1 would be acute, and angle 2 obtuse
OpenStudy (anonymous):
alternate interrior angles? never heard of them before lol
Directrix (directrix):
Close but not quite there. The angles are same-side interior angles.
OpenStudy (anonymous):
Well i dont know what the terms mean exactly lol
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Directrix (directrix):
And, if two parallel lines are cut by a transversal, same-side interior angles are supplementary.
Your task: What does it mean to say that two angles are supplementary?
OpenStudy (anonymous):
it means the angles add up to 180 degrees
Directrix (directrix):
Right.
OpenStudy (anonymous):
angle 1(72) plus angle 2(x) equals 180
OpenStudy (anonymous):
yup
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Directrix (directrix):
What is 180 - 72 =?
OpenStudy (anonymous):
108
Directrix (directrix):
Correct. And, the two vertical angles we spoke of earlier are congruent.
See attached diagram.
Directrix (directrix):
So, the measure of angle 2 is ?
Directrix (directrix):
@Holylion94
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OpenStudy (anonymous):
108 ?
Directrix (directrix):
Correct.
OpenStudy (anonymous):
and 1 ?
Directrix (directrix):
Angle 1 was given to be 72 in the problem, I thought.
Directrix (directrix):
Look at the diagram you posted. 72 is given for angle 1.
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OpenStudy (anonymous):
so why are they asking for angle 1's measure ?
Directrix (directrix):
The question you posted states: Find m<2. We did that.