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Are the lines parallel? alternate angles 50 and 50

Step by step, with the reason for every step · Are the lines parallel? · Geometry

Step by step

The question

Question: find out if the two lines are parallel.

The alternate angles are 50° and 50°.

1 Name the angle pair

A line crosses two other lines.

It is called a transversal.

Our two angles are between the lines, on opposite sides of the transversal: alternate angles.

Together they make a Z shape.

2 Use the parallel test

Parallel lines make alternate angles equal.

And if they are equal, the lines are parallel.

50° and 50°: they are equal.

50 = 50

Careful!

For alternate angles we ask: are they equal?

Careful: alternate: equal, not adding to 180°

So the lines are parallel.

Answer: = parallel

We can draw the arrows on the lines now.

Let's look back.

First: name the angle pair.

Last: use the parallel test.

Answer
Answer: = parallel

Your turn

Try this one yourself, then check:

Parallel or not?
Show the answer
parallel

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