Question

Two complementary angles have measures of s and t. If s+t=90∘, what is the relationship between s and t?

A) s=t
B) s+t=180∘
C) s=90∘−t
D) s>t

Answer 1

Two complementary angles sum to 90°, and one angle can be expressed as the difference between 90° and the other angle.

Step-by-step explanation:

If two angles are complementary, their measures add up to 90 degrees. Given the relationship s + t = 90°, we can deduce that this is the definition of two complementary angles. So one angle is 's' and the other is 't'. We are not given any other specific information about the magnitude of the angles which means we cannot assume they are equal, greater, or sum to any other number besides 90 degrees. However, we can express one angle in terms of the other. Hence, the correct relationship would be s = 90° - t or alternatively t = 90° - s, as implied by the equation given.