Chapter 4.5, Problem 1PS

a)

To determine

To calculate: Name all pairs of alternate interior angles.

Answer to Problem 1PS

  $\angle 4\text{and}\angle 8,\angle 7\text{and}\angle 3$ .

Explanation of Solution

Given information:

  

Follows by definition of alternate interior angles.

b)

To determine

To calculate: Name all pairs of alternate exterior angles.

Answer to Problem 1PS

  $\angle 1\text{and}\angle 5,\angle 2\text{and}\angle 6$ .

Explanation of Solution

Given information:

  

Follows by definition of alternate exterior angles.

c)

To determine

To calculate: Name all pairs of Corresponding angles.

Answer to Problem 1PS

  $\angle 3\text{and}\angle 5,\angle 4\text{and}\angle 2,\angle 6\text{and}\angle 8,\angle 1\text{and}\angle 7$ .

Explanation of Solution

Given information:

  

Follows by definition of alternate corresponding angles

d)

To determine

To calculate: Name all pairs of interior angles on the same side of transversal.

Answer to Problem 1PS

  $\angle 3\text{and}\angle 5,\angle 7\text{and}\angle 8$ .

Explanation of Solution

Given information:

  

Follows by definition of pair of interior angles on the same side of transversal.

e)

To determine

To calculate: Name all pairs of alternate exterior angles on the same side of transversal.

Answer to Problem 1PS

  $\angle 2\text{and}\angle 5,\angle 1\text{and}\angle 6$

Explanation of Solution

Given information:

  

Follows by definition of pair of exterior angles on the same side of transversal.