posted by Anonymous .
FOR EACH PAIR OF LINES, DETERMINE SIZE OF ACUTE ANGLE, TO THE NEAREST DEGREE, THAT IS CREATED BY INTERSECTION OF LINES.:--Y = 0.5X+6 AND Y=-0.75X-1
y = 0.5x + 6 makes an angle
arctan 0.5 = 26.57 degrees with the x axis. It slopes upward.
y = -.75x -1 makes and angle arctan -0.75 = -36.87 degrees with the x axis (It slopes downward)
The sum of those two angles is the acute angle between them. 63.44 degrees.
Round it to 63 degrees.