Carpenter Charlie charges $15 per hour plus a flat rate of $100. Carpenter Chris charges $20 per hour plus a flat rate of $50. For how many hours of work will the total charged be equal? Let x equal the number of hours worked and let y equal the total that the carpenter will charge.

"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?