90.4k views
4 votes
What is the measure of angle N?

What is the measure of angle N?-example-1

1 Answer

4 votes

Answer:

∠N = 61°

Explanation:

We can use the fact that
(a)/(sin(A))=(b)/(sin(B))=(c)/(sin(C)) to solve for the missing angle.

In this case, we have
(m)/(sin(M))=(n)/(sin(N))=(o)/(sin(O))

So we need to solve for ∠N, so we should manipulate one of the equations that involves the variable N. I will choose to use the equations with N and O since we have the measure of side o

Since
(n)/(sin(N))=(o)/(sin(O)), solving for N would give us
(nsin(O))/(o) = sin(N) and then getting N by itself would give us
N=sin^(-1) ((nsin(O))/(o))

Plugging in the respective values would give us
N=sin^(-1) ((18sin(17))/(6)) =sin^(-1) (3sin(17))=sin^(-1) (0.877)= 61.3^(o)

∠N = 61°

What is the measure of angle N?-example-1
User Frostyterrier
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories