Pagen13
  • Pagen13
If measure of angle m<7=100degrees find measure of angle 3
Geometry
chestercat
  • chestercat
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Pagen13
  • Pagen13
mathstudent55
  • mathstudent55
You see the light-blue arrowheads on the two lines? What do they mean about the lines?
Pagen13
  • Pagen13
They are congruent

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mathstudent55
  • mathstudent55
|dw:1444525882695:dw|
mathstudent55
  • mathstudent55
|dw:1444525960356:dw|
mathstudent55
  • mathstudent55
What do the circled arrowheads above tell you about the lines? Lines are not congruent. Congruent refers to things that can be measured, such as angles, line segments, triangles, etc. When they are congruent, they have the same measure. Lines have infinite length. We don't use the term congruent with lines.
mathstudent55
  • mathstudent55
Those two arrow heads mean the lines are parallel.
mathstudent55
  • mathstudent55
Here is a postulate: If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Pagen13
  • Pagen13
Okay but how do we get the angle 3
mathstudent55
  • mathstudent55
When to lines are cut by a transversal, what are corresponding angles?
mathstudent55
  • mathstudent55
Corresponding angles are on the same side of the transversal, and on the same relative position to the two lines.
mathstudent55
  • mathstudent55
Angles 1 and 5 are corresponding angles. Since the lines are parallel, angles 1 and 5 are congruent. |dw:1444526239058:dw|
mathstudent55
  • mathstudent55
Angles 2 and 6 are corresponding angles. Since the lines are parallel, angles 2 and 6 are congruent. |dw:1444526291617:dw|
mathstudent55
  • mathstudent55
Angles 4 and 8 are corresponding angles. Since the lines are parallel, angles 4 and 8 are congruent. |dw:1444526333827:dw|
Pagen13
  • Pagen13
Oh okay thank you
mathstudent55
  • mathstudent55
Using the 3 figures just above and the explanation of corresponding angles & the postulate, what can you conclude about angles 3 and 7?
mathstudent55
  • mathstudent55
You're welcome.

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