IXL | Identify alternate interior and alternate exterior angles

HJ
and
KM
are
parallel
lines.

Which angles are alternate interior angles?

JIL and JIG

JIL and KLI

JIL and KLN

JIL and MLI

ref_doc_title.

Learn with an example

question

TV
and
WY
are
parallel
lines.

Which angles are alternate interior angles?

YXU and VUS

YXU and TUX

YXU and TUS

YXU and VUX

key idea

A transversal is a line that intersects two other lines.

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

solution

The
transversal
is
SZ
.

First find YXU.

Check each pair of angles.

YXU and VUS are not alternate interior angles. They are on the same side of the transversal.

YXU and TUX are alternate interior angles.

They
are
between
TV
and
WY
and
are
on
opposite
sides
of
the
transversal,
but
they
are
not
adjacent.

YXU and TUS are not alternate interior angles. TUS is not between the parallel lines.

YXU and VUX are not alternate interior angles. They are on the same side of the transversal.

Looking for more? Try these:

Lesson: Transversals of parallel lines

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Lesson: Transversals of parallel lines

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