in the middle of the desert two roads which are 5 km apart r

in the middle of the desert two roads which are 5 km apart run parallel and run east to west. a jeep traveling west leaves the southern road at 24 degree angle and drives toward the northern road. in between the roads the jeep makes a right in a new direction northeasternly. The jeep is still headed for the northern road. It meets the north road at a 37 degree angle. How many degrees did the jeep travel on the right turn

Solution

Lets start this way. First draw a picture to represent this problem. Once you have the picture, draw a vertical line from the southern road to the northern road - this should make a triangle with the jeeps travel path. What you have done is created right triangles. The top portion is 53 degrees and the bottom portion is 66 degrees. A triangles angles must sum to 180, so X = 180 - 66 - 53 = 61 degrees. The angle of turn was 61 degrees.
Now if this is a bit difficult - drawing pictures and solving problems in this way can be; just add the two numbers together and you get 61 degrees. Assuming the conditions of this problem, it will always work.