Question

7. (05.01 MC) If sin∠M = cos∠N and m∠N = 30°, what is the measure of ∠M? (1 point) 150° 90° 60° 30°

Answer 1

60*

Explanation:

We can use the fact that the sine of an angle is equal to the cosine of its complement to solve this problem. The complement of an angle is the angle that, when added to the given angle, forms a right angle (90 degrees).

Since the measure of angle N is 30 degrees, the measure of its complement is 90 - 30 = 60 degrees. Therefore, if sin M = cos N, then M must be the complement of N, which means that the measure of angle M is 60 degrees. Therefore, the answer is 60°.