Jerry has two same size circles divided into same number of equal parts. one circle has 3/4 of the party shaded and the other has 2/3 of the part shaded. his sister says the least number of pieces each circle could be divided into is 7. is his sister correct ? explain

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?