Angle Relationships

Lines l and m are parallel. Identify a set of vertical angles.

• <1 and <2

• <3 and <7

• <4 and <5

• <8 and <1

• <6 and <7

Answer explanation

Vertical angles share a vertex ( across from each other). They are also congruent.

Lines l and m are parallel. Identify a set of corresponding angles.

• <1 and <2

• <3 and <7

• <4 and <5

• <8 and <1

• <6 and <7

Answer explanation

Corresponding angles are in the same location on each parallel line. They are also congruent.

Lines l and m are parallel. Identify a set of alternate exterior angles.

• <1 and <2

• <3 and <7

• <4 and <5

• <8 and <1

• <6 and <7

Answer explanation

Alternate exterior angles occur outside of the parallel lines and on either side of the transversal. They are also congruent.

What is the sum of the interior angles of a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Answer explanation

A triangle is half of a rectangle. If a rectangle's angles total 360 degrees, a triangles must be 180 degrees.

If <1 is 60 degrees and <3 is 45 degrees, what is the measure of <2? Type only a number in the box.

Answer explanation

The interior angles of a triangle add up to 180 degrees.

60 + 45 + x = 180, x must be 75 degrees.

Lines l and m are parallel. Identify a set of supplementary angles.

• <1 and <2

• <3 and <7

• <4 and <5

• <8 and <1

• <6 and <7

Answer explanation

Supplementary angles have a sum of 180 degrees. Supplementary angles are not always congruent.

Lines l and m are parallel. Identify a set of alternate interior angles.

• <1 and <2

• <3 and <7

• <4 and <5

• <8 and <1

• <6 and <7

Answer explanation

Alternate interior angles occure inside the parallel lines on opposite sides of the transversal. They are also congruent.

In relation to <4, <1 and <2 can be classified as...

• supplementary angles

• remote interior angles

• alternate interior angles

• none of these

Answer explanation

Remote interior angles do not touch the exterior angle.

<1 + <2 = <4

This thinking represents...

• supplementary angles

• the interior angles of a triangle equalling 180 degrees

• the exterior angle theorem

• corresponding angles

Answer explanation

The exterior angle theorem states that the sum of remote interior angles is equal to an exterior angle.

Lines l and m are parallel. What angle relationship proves <5 is congruent to <1?

• vertical

• corresponding

• alternate interior

• alternate exterior

• remote interior