Chapter 1.2, Problem 17PSB

a.

To determine

To find: What are the restrictions on $m\angle P$ .

Answer to Problem 17PSB

  $m\angle P<{90}^0$ .

Explanation of Solution

Given information:

A figure is given as below. $\angle P$ is an acute angle.

  

Calculation:

A figure is given as below.

  

As $\angle P$ is an acute angle.

This means $m\angle P<{90}^0$ .

b.

To determine

To find: What are the restrictions on $x$ .

Answer to Problem 17PSB

  $x<{50}^0$ .

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

A figure is given as below.

  

As $\angle P$ is an acute angle.

This means $m\angle P<{90}^0$ .

  $\begin{array}{l}\Rightarrow 3x-{60}^0<{90}^0\\ \Rightarrow 3x<{150}^0\\ \Rightarrow x<{50}^0\end{array}$

Hence, $x<{50}^0$ .