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 ° to resume a due west course. (type a whole number.)

Explanation:

Step1: Analyze angle - change situation

She turned 50° north of west. To resume due - west, she needs to turn the same amount in the opposite direction.

Step2: Determine angle of turn

The angle she needs to turn to resume due west is 50°.

Step3: Identify angle pair

The pair of angles are the angle of the initial turn (50° north of west) and the angle of the return turn. They are congruent because they have the same measure.

Answer:

a. 50
b. The pair of angles are congruent. The angles are the 50° turn to get around the peninsula and the 50° turn to resume the due - west course. They are congruent as they have the same measure of 50°.