1. in the diagram, line segment vr is parallel to line segment us.

which two angles are a pair of corresponding angles?

< ang1 and ang2

< ang1 and ang3

< ang1 and ang4

2. in the diagram, line segment vr is parallel to line segment us.
which two angles are a pair of alternate interior angles?

< ang3 and ang5

< ang2 and ang8

< ang3 and ang8

3. if line segment ef is parallel to line segment cd and mangle+symbol5 = 75°, what is mangle+symbol1?

a) < 15°
b) < 105°
c) < 75°
d) < not enough information is given.

4. if line segment ef is parallel to line segment cd and mangle+symbol7 = 101°, what is mangle+symbol2?

a) < 11°
b) < 101°
c) < 79°
d) < not enough information is given.

5. use the figure to answer the question.

which describes ∠1 and ∠8?

a) < alternate interior angles
b) < alternate exterior angles
c) < corresponding angles
b) < vertical angles

1) corresponding angles are < ang1 and ang4
2) alternate interior angles are < ang2 and ang8
3) m∠5 = 75° ; m∠5 and m∠1 are corresponding angles, so, m∠1 is 75°. choice c.
4) m∠7 = 101°; m∠7 and m∠2 are alternate exterior angles, so, m∠2 is also 101°.
5) ∠1 and ∠8 are alternate exterior angles.

The correct answers are:

#1) ∠1 and ∠4
#2) ∠2 and ∠8
#3) C) 75°
#4) B) 101°
#5) B) alternate exterior angles

Explanation:

#1)  Corresponding angles are angles that are in the same relative position.  Angle 1 and angle 4 are in the bottom left corner of their triangle, thus are corresponding.

#2) Alternate interior angles are angles that are between the two parallel lines and on opposite sides of the transversal.  ∠2 and ∠8 are both inside the parallel lines, and on opposite sides of the transversal.

#3) ∠1 and ∠5 are corresponding angles; this means they have the same measure.  Since m∠5 = 75°, then m∠1 = 75° as well.

#4) ∠7 and ∠2 are alternate exterior angles; this means they have the same measure.  Since m∠7 = 101°, then m∠2 = 101° as well.

#5) Alternate exterior angles are angles that are outside the parallel lines and on opposite sides of the transversal.  ∠1 and ∠8 are both outside the parallel lines and on opposite sides of the transversal, so they are alternate exterior.