maximam angle through which light can b injected to a optical fiber for its total intenal reflection
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No. An angle is (90 minus its complement) degrees. The definition of the complement is "90 degrees minus the original angle".
Ths side opposite the right angle.
an angle less than 90 degrees but more than 0 degrees
Say angle 1 is 40 which means that if angle 3 is congruent then angle 3 is also 40 by definition of vertical angles. That would make angle 2 equal to 140 by definition of a linear pair and so angle 4 is congruent by vertical angles.
Complementary angles are acute by definition. A 93 degree angle is not acute and can't have a complement.