Question

suppose that it is known that the measure of angle 1 is (18x+12), the measure of angle 2 is (6y), and the measure of angle 3 is (3x+4y). solve for x and y

Answer 1

Without a diagram, one must make certain assumptions about this problem. If and only if these three angles are the interior angles of a triangle, then their sum must be 180 degrees, so that 18x+12 + 6y + 3x+4y = 180. Unfortunately, this is a single equation in 2 unknowns. Thus, we cannot solve for an explicit value for either x or y.

If there was a diagram, please share it; otherwise, describe the triangle in words as best you can.