Question

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. margaret turned the wheel 50° to resume a due west course. (type a whole number.)
b. margaret used drop - down menu with options: corresponding, alternate exterior, same - side interior, alternate interior angles, which are drop - down menu to resume her course.

Explanation:

Step1: Analyze angle for resuming course

She turned 50° north - of - due - west and needs to turn back the same amount to resume due west. So the angle to turn the wheel is 50°.

Step2: Identify angle pair

The angles formed when she turns and then turns back are alternate interior angles. Alternate interior angles are congruent when the lines (in this case, the initial and final west - ward paths) are parallel.

Answer:

a. 50
b. alternate interior; congruent