Answered

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

Sagot :

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

[tex]The\text{ sum of the given pair is: 35}^{\circ}+55^{\circ}=90^{\circ}[/tex]

For option B

[tex]The\text{ sum of the given pair is: 35}^{\circ}+145^{\circ}=180^{\circ}[/tex]

For option C,

[tex]The\text{ sum of the given pair is: 35}^{\circ}+70^{\circ}=105^{\circ}[/tex]

For option D

[tex]The\text{ sum of the given pair is: 35}^{\circ}+35^{\circ}=70^{\circ}[/tex]

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

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

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