Chapter 11, Problem 5CR

To determine

To find: The measure of the angle between the door and doorjamb.

Answer to Problem 5CR

Angle between the door and doorjamb is ${81}^0$

Explanation of Solution

Given information:

The door can swing open ${180}^0$

The door is open at an angle of ${99}^0$

Given

The door can swing open ${180}^0$

The door is open at an angle of ${99}^0$

Let $x$ be the angle between door and doorjamb.

So,the door open at an angle and angle between the door and doorjamb are Supplementary, the sum of their measures is ${180}^0$

So,

  $\begin{array}{l}\Rightarrow {99}^0+x={180}^0\\ \Rightarrow {99}^0-{99}^0+x={180}^0-{99}^0\\ \Rightarrow x={81}^0\end{array}$

Therefore,

Angle between the door and doorjamb is ${81}^0$