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- Pagen13

If measure of angle m<7=100degrees find measure of angle 3

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- Pagen13

If measure of angle m<7=100degrees find measure of angle 3

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- Pagen13

- mathstudent55

You see the light-blue arrowheads on the two lines?
What do they mean about the lines?

- Pagen13

They are congruent

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- mathstudent55

|dw:1444525882695:dw|

- mathstudent55

|dw:1444525960356:dw|

- 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

Those two arrow heads mean the lines are parallel.

- mathstudent55

Here is a postulate:
If two parallel lines are cut by a transversal, then corresponding angles are congruent.

- Pagen13

Okay but how do we get the angle 3

- mathstudent55

When to lines are cut by a transversal, what are corresponding angles?

- mathstudent55

Corresponding angles are on the same side of the transversal, and on the same relative position to the two lines.

- mathstudent55

Angles 1 and 5 are corresponding angles.
Since the lines are parallel, angles 1 and 5 are congruent.
|dw:1444526239058:dw|

- mathstudent55

Angles 2 and 6 are corresponding angles.
Since the lines are parallel, angles 2 and 6 are congruent.
|dw:1444526291617:dw|

- mathstudent55

Angles 4 and 8 are corresponding angles.
Since the lines are parallel, angles 4 and 8 are congruent.
|dw:1444526333827:dw|

- Pagen13

Oh okay thank you

- 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

You're welcome.

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