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Answer:
90°, 450°, among others
Explanation:
Technically, point that are on the axes are not in any quadrant. "On the x-axis in quadrant 1" is self-contradictory, for example.
We assume you intend the rays to match the positive x and positive y axes.
If we consider the initial ray to be the one on the +x axis, then the ray on the +y axis will be the terminal ray of an angle of measure +90° or the sum of that and any integer multiple of 360°. Other possible measures of the same angle include -270° or +450°.
If we consider the initial ray to be the one on the +y axis, then the ray on the +x axis will be the terminal ray of an angle that has the opposite measure of any of those described above. Possibilities include -450°, -90°, +270°, +630°.