Three cell phone towers are shown at the right. The measure if M is 15 less than the measure of K. The measure of L is 5 greater than the measure of M. Which two towers are closest together? Explain
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Those ar translations of the given info for the angles
All i understand is
M is 15 less than K --- M = K - 15
L is 5 greater than M --- L = M + 5
when you se "is" that is like 'equals
you can not solve that yet though, 2 equations and 3 variables
Oh, so its K and L because M is opposite and the smallest angle. Right?
I'm trying to solve it right now in my paper
Can you please tell me how to solve it properly?
you can not solve 2 equations with 3 variables, you need at least 3 equations, one for each variable
what else can you say about angles of a triangle?
they total to 180 degrees
M + L + K = 180
try and solve now for M,L and K
Three cell phone towers are shown at the right. The measure of M is 15 less than the measure of K. The measure of L is 5 greater than the measure of M. Which two towers are closest together? Explain
M = K - 15
L = 5 + M
180 = M + L + K
---------------- solve first equation for K
K = M + 15
L = 5 + M
180 = M + L + K
--------------- Sub in the values of K and L in terms of M and solve for M
180 = M + (5+M) + (M + 15)
M = 160/3 degrees
L = 160/3 + 5
K = 160 / 3 + 15
L=160/3 + 5 = 58.33
K=160/3 +15 = 68.33
right, then the sides across opposite of an angle are proportional to the coresponding angle measures
Ok i got it thanks!!
the actual distances cant be found, but the relative distances can since the angles are known