Chapter 1.4, Problem 14PSC

To determine

To find: The restriction on $y$ .

Answer to Problem 14PSC

  $9<y<27$

Explanation of Solution

Given:

Measure of an obtuse angle $\theta =\left(5y+45\right)°$

Concept Used:

Measure of an obtuse angle $90°<\theta <180°$

Calculation:

Here, we have measure of an obtuse angle $\theta =\left(5y+45\right)°$

But, measure of an obtuse angle $90°<\theta <180°$

  $\begin{array}{l}90°<\left(5y+45\right)°<180°\\ \Rightarrow 45°<\left(5y\right)°<135°\\ \Rightarrow 9<y<27\end{array}$

Conclusion:

  $9<y<27$