Given,
The angles are sin x° and the cos y°.
Required:
The pair of angles which have congruent value.
The pair of angle which are complementary for each other are the angles has congruent values for the sin x° and the cos y°.
The complementary angle are the pair of angles which have the sum equal to 90 degree.
For option A
For option B
For option C,
For option D
Here, only the pair of angles in option A are complementary angles.
Hence, option A (35 degree, 55 degree) is correct.