57.7k views
4 votes
If sin∠M = cos∠N and m∠N = 30°, what is the measure of ∠M?

User Antonin
by
5.9k points

2 Answers

2 votes

Answer: The measure of ∠M is 60°

Explanation:

The complement of 30° is 60°

sin∠M =cos∠N

sin∠60°=cos∠30°

the measure of ∠M is 60°

User That Dave Guy
by
5.5k points
1 vote

Explanation:

sin∠M = cos∠N

sin∠M = cos(30°)

sin∠M = √3 / 2

m∠M = 60° or 120°

If ∠M is acute, m∠M = 60°.

User KWondra
by
5.9k points