If measure of angle m

Question

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

pagen13 · Answer

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mathstudent55 · Answer

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

pagen13 · Answer

They are congruent

mathstudent55 · Answer

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mathstudent55 · Answer

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mathstudent55 · Answer

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 · Answer

Those two arrow heads mean the lines are parallel.

mathstudent55 · Answer

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

pagen13 · Answer

Okay but how do we get the angle 3

mathstudent55 · Answer

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

mathstudent55 · Answer

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

mathstudent55 · Answer

Angles 1 and 5 are corresponding angles.
Since the lines are parallel, angles 1 and 5 are congruent.
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