A theorem from Euclid’s work relates to this particular lesson. The fact that any two lines intersect at exactly one point applies directly to systems of linear equations. Explain how this geometric theorem applies to the algebraic topic of systems of equations.

"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?