Question

Which pair of angles has congruent values for the sin x° and the cos y°? a35°; 55° b35°; 145° c35°; 70° d35°; 35°

Answer 1

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

`The\text{ sum of the given pair is: 35}^(\circ)+55^(\circ)=90^(\circ)`

For option B

`The\text{ sum of the given pair is: 35}^(\circ)+145^(\circ)=180^(\circ)`

For option C,

`The\text{ sum of the given pair is: 35}^(\circ)+70^(\circ)=105^(\circ)`

For option D

`The\text{ sum of the given pair is: 35}^(\circ)+35^(\circ)=70^(\circ)`

Here, only the pair of angles in option A are complementary angles.

Hence, option A (35 degree, 55 degree) is correct.