Question

Which pair of angles has congruent values for the sin x° and the cos y°?

Answer 1

Answer:

35°; 55°

Step-by-step explanation:

Suppose,

$\sin x=\cos y$

$\sin x = \sin (90-y)$      $(\because \cos \theta = \sin (90-\theta))$

$\implies x = 90 - y$

$\implies x + y = 90$

Hence, x and y must be complementary angles.

∵ 35° + 55°  = 90°

35° +  145°  = 180° ≠ 90°

35° + 70°  = 105° ≠ 90°

35° +  35° = 70° ≠ 90°

Therefore, the pair of angles would be 35°; 55°.

Answer 2

This one is A. they are complementary