Answer:
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
