What is the measure of the angle formed by the line and the northern half of the wall

Question

From the center of long straight wall, Tim painted a straight line on the floor in the room. Tim then measured the angle made by the line and the southern half of the wall to be 102.7 degrees. What is the measure of the angle formed by the line and the northern half of the wall?

 

How would one go about drawing this, as well.

Answer 1

   southern half                  northern half  

         102.7 degrees  \      x

                            

 

Let x be the degrees of the angle made with the northern half of the wall.

 

Because the wall is straight it will make a straight angle which is 180 degrees.

 

so if we add 102.7  +  x that will equal 180 degrees

 

102.7 + x = 180

 

subtract 102.7 from both sides

 

x = 77.3 degrees