Chapter 5, Problem 7RP

a.

To determine

Verify that $m\left|\right|p$ .

Answer to Problem 7RP

  $m\left|\right|p$

Explanation of Solution

Given information:

  

Calculation:

As per the given figure, the corresponding angles are congruent so the line $m\left|\right|p$

Hence, $m\left|\right|p$ .

b.

To determine

Verify that $m\left|\right|p$ .

Answer to Problem 7RP

  $m\cancel{\left|\right|}p$

Explanation of Solution

Given information:

  

Calculation:

As per the given figure, the exterior angle same side of transverse are congruent then line $m\cancel{\left|\right|}p$

Hence, $m\cancel{\left|\right|}p$ .

c.

To determine

Verify that $m\left|\right|p$ .

Answer to Problem 7RP

  $m\left|\right|p$

Explanation of Solution

Given information:

  

Calculation:

As per the given figure,

Let compare opposite exterior and interior angles of transverse,

  $\begin{array}{l}120°+x+40°=180°\\ x=180°-160°\\ x=20°\end{array}$

So opposite exterior and interior angles of transverse are congruent then line $m\left|\right|p$

Hence, $m\left|\right|p$ .