IXL | Identify alternate interior and alternate exterior angles

NP
and
QS
are
parallel
lines.

Which angles are alternate exterior angles?

NOM and QRO

NOM and SRT

NOM and POR

NOM and NOR

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Learn with an example

question

GI
and
JL
are
parallel
lines.

Which angles are alternate exterior angles?

GHF and JKM

GHF and GHK

GHF and IHK

GHF and LKM

key idea

A transversal is a line that intersects two other lines.

Two angles formed by a transversal crossing two lines are alternate exterior angles if they are outside the two lines and are on opposite sides of the transversal, but are not adjacent.

solution

First find GHF.

Check each pair of angles.

GHF and JKM are not alternate exterior angles. They are not on opposite sides of the transversal.

GHF and GHK are not alternate exterior angles. GHK is not outside the two lines.

GHF and IHK are not alternate exterior angles. IHK is not outside the two lines.

GHF and LKM are alternate exterior angles. They are outside the two lines and are on opposite sides of the transversal, but are not adjacent.

Looking for more? Try these:

Lesson: Transversals of parallel lines

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Lesson: Transversals of parallel lines

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