Question

In ALMN, m/L= 40° and m/M = 41°. Which statement about the sides of ALMN

must be true?
OMN > LM > NL
OLM > NL > MN
ONLMN > LM
ONL> LM > MN
OMN > NL > LM
OLM > MN > NL

Answer 1

We know that the sum of the angles of a triangle is 180 degrees. So, we can find the value of angle LNM as follows:

m/L + m/M + m/N = 180 degrees

Substituting the given values, we get:

40 + 41 + m/N = 180

m/N = 99

Now, we can see that angle LNM is greater than both angles L and M. So, we can conclude that:

OMN > NL > LM