Question

prove that if an arms of an angle are perpendicular to the arms of another angle then they are either equal or supplementary

Answer 1

If two angles have their arms perpendicular to each other, it means that they form a 90-degree angle. This means that the sum of the two angles must be either 90 degrees (equal) or 180 degrees (supplementary). In other words, two perpendicular angles can either be equal or supplementary, but never obtuse or acute.