In the expression 3(3m+11) represents angle 1 and the expression 2(5m-10) -23 represents angle 2. What is the value of m? angle 1? and angle 2?

Question

In the expression 3(3m+11) represents angle 1 and the expression 2(5m-10) -23 represents angle 2.  What is the value of m? angle 1? and angle 2?

jim_thompson5910 · Answer

what's the relationship between angles 1 and 2?

anonymous · Answer

they are adjacent

jim_thompson5910 · Answer

are they complementary or supplementary?

anonymous · Answer

supplementary

jim_thompson5910 · Answer

so angle 1 + angle 2 = 180

jim_thompson5910 · Answer

which means that 


3(3m+11) + 2(5m-10) -23 = 180

anonymous · Answer

yes

jim_thompson5910 · Answer

Now solve for m to get


3(3m+11)+2(5m-10)-23=180


9m+33+10m-20-23=180


19m-10=180


19m=180+10


19m=190


m=190/19


m=10

jim_thompson5910 · Answer

use this value of m to find the measures of the two angles


angle 1: 3(3m+11) = 3(3*10+11) = 3(30+11) = 3(41) = 123


So angle 1 is 123 degrees


You can plug m = 10 into the other expression, but we can exploit the fact that the two angles are supplementary


So angle 2 = 180 - 123 = 57 degrees

anonymous · Answer

thanks