Chapter 11, Problem 14SGR

To determine

To find the measure between the door and door jam.

Answer to Problem 14SGR

  $81°$

Explanation of Solution

Given information:

Door can swing $180°$ and it is open at $99°$ .

Formula used:

Supplementary angles, to calculate the measure of angles that sum up to $180°$ .

Calculation:

Since the door can swing up to $180°$ , this is the complete angle present in between the door jam and the door. The door can swing to any angle in between $0°$ and $180°$ . In the given information, the door is open at $99°$ and thus the angle between the door jam and door would be the difference of $180°$ and $99°$ .

Let the angle between the door and the door jam be $x°$ .

  $x°+99°=180°$

Applying the formula for supplementary angles.

  $=>x°=180°-99°$

Simplifying the equation.

  $=>x°=81°$

This is the distance between the door and the door jam.