5. If the angles X and Y each measure between 0° and 90°, and if sinX = cosY, what is the sum of the measures of the angles X and Y?
The angles have to be 45 deg, so the sum is 90
try both x and y are 45 degrees.
To find the sum of the measures of angles X and Y, we first need to determine the values of angles X and Y.
Given that sinX = cosY, we know that the sine of an angle is equal to the cosine of its complement. In other words, angle X and angle Y are complementary angles.
Since both angles measure between 0° and 90°, we can conclude that X + Y = 90°.
Therefore, the sum of the measures of angles X and Y is 90°.