5. communicate precisely margaret is in a
boat traveling due west. she turned the boat
50° north of due west for a couple of minutes
to get around a peninsula. then she resumed
due west again.
a. how many degrees would she turn the
wheel to resume a due west course?
b. name the pair of angles she used. are the
angles congruent or supplementary?

a. She turned the wheel 50° to resume a due west course

b. The pair of angles are congruent

Step-by-step explanation:

* Lets explain how to solve the problem

- Margaret is in a  boat traveling due west

- She turned the boat  50° north of due west for a couple of minutes

  to get around a peninsula

- That means the angle between the west and the line represents her

  motion when she turned the wheel is 50°

- Then she resumed  due west again

- That means she moved in a line parallel to the west like her

  first motion

- The west directions are parallel and the line represents north of

  due west is the transversal of the two parallel lines

- Then she turned the wheel from north to west that means the angle

  of the first turn and the angle of the second turn are on the same

  side of the transversal and up the two parallel lines

- Then the two angles are in the corresponding position

- So the two angles have the same measure

a. She turned the wheel 50° to resume a due west course

b. The pair of angles are congruent

Look to the attached figure to more understand

x represent the angle she turned the wheel to resume a due west course

mental cunning

explanation:

he is often referred to as a man of twists and turns

m∠a is 90°

m∠b is 40°