Question

1. 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?

Explanation:

Step1: Determine the turn - angle for part a

She turned 50° north of due west. To resume due west, she needs to turn back the same angle. So the angle she turns the wheel is 50°.

Step2: Identify the angle - pair for part b

The pair of angles she used are adjacent angles. Adjacent angles share a common side and a common vertex. In this case, the original due - west direction, the direction after the turn, and the resumed due - west direction form adjacent angles. These adjacent angles are supplementary because they form a linear pair (a straight - line path change), and the sum of angles in a linear pair is 180°.

Answer:

a. 50°
b. Adjacent angles; Supplementary