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You see the light-blue arrowheads on the two lines? What do they mean about the lines?
They are congruent
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.
Those two arrow heads mean the lines are parallel.
Here is a postulate: If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Okay but how do we get the angle 3
When to lines are cut by a transversal, what are corresponding angles?
Corresponding angles are on the same side of the transversal, and on the same relative position to the two lines.
Angles 1 and 5 are corresponding angles. Since the lines are parallel, angles 1 and 5 are congruent. |dw:1444526239058:dw|
Angles 2 and 6 are corresponding angles. Since the lines are parallel, angles 2 and 6 are congruent. |dw:1444526291617:dw|
Angles 4 and 8 are corresponding angles. Since the lines are parallel, angles 4 and 8 are congruent. |dw:1444526333827:dw|
Oh okay thank you
Using the 3 figures just above and the explanation of corresponding angles & the postulate, what can you conclude about angles 3 and 7?