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

70°; 160°
70°; 70°
70°; 120°
70°; 20°

70; 20

Step-by-step explanation:

By the definition of a triangle, all angles must sum to 180 degrees.

We already know that the right triangle automatically has an angle of 90 degrees, so the last two angle must be complemetary and will always total 90 degrees as well.

So, by the process of elimination we can gather that the angles must be 70 and 20.

To prove our answer is correct, we can add the angles together: 70 + 20 + 90 = 180. Yep, it works!

For values to have congruent sin and cos value, it means that sin x=cos y
thus from the given values, the values that sin x is congruent to cos y will be found as follows;
70
sin 70=0.9397
getting the cosine for y values we get:
cos 160=-0.9397
cos 70=0.3420
cos 120=-0.5
cos 20=0.9397
from the above we see that the cosine value congruent to sin 70 is cos 20

1 cubic yard of compost, 12 cubic yards of topsoil

Step-by-step explanation: