Chapter 8.5, Problem 54E

(a)

To determine

To Explain: The possibility to $\angle XYZ$ be as a straight angle.

Answer to Problem 54E

No, it is not possible.

Explanation of Solution

Given information: The following diagram is been given.

  

The three angles lying on it. Where, $\angle XYW$ is right angle and $\angle WYZ$ is obtuse angle.

Then,

  $90°+46°+46°=182°$

Hence, $182°\ne 180°$

Therefore, $\angle XYZ$ can’t be a straight angle.

(b)

To determine

To Explain: The changes that enable us to make $\angle XYZ$ as a straight angle.

Answer to Problem 54E

Both angles $\angle VYZ$ and $\angle WYV$ changed to $45°$ .

Explanation of Solution

Given information: The following diagram is been given.

  

The congruent angles $\angle VYZ$ and $\angle WYV$ will be changed to $45°$ each to make $\angle XYZ$ a straight angle.