Two of four angles of a quadrilateral are equal, each being equal to 120°. The ratio of the other two angles is 2:3. Find these two angles.

Answer 1

So far you have 120° + 120° or 240° for the two equal angles, which leaves
360-240 or 120° for the remaining two angles.
But they are to be in the ratio of 2:3
let the smaller be 2x and the larger be 3x
2x+3x = 120

solve for x, and sub back into 2x and 3x.

Answer 2

120 + 120 + 2x + 3x = 360.
Solve for x, 2x, and 3x.