SOLUTION: I have found X=3 but don't understand how to find m < S or m < R RS = 6 the parallelogram is PQRS P-Q 2x S-R x+3 angle S has 10n° and angle R has 8n° how do I find the measured ang

Algebra ->  Parallelograms -> SOLUTION: I have found X=3 but don't understand how to find m < S or m < R RS = 6 the parallelogram is PQRS P-Q 2x S-R x+3 angle S has 10n° and angle R has 8n° how do I find the measured ang      Log On


   

Question 1005121: I have found X=3 but don't understand how to find m < S or m < R RS = 6 the parallelogram is PQRS P-Q 2x S-R x+3 angle S has 10n° and angle R has 8n° how do I find the measured angle of S and R
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Angle R and angle S are adjacent angles. In any parallelogram, this means they add to 180 degrees

R+S = 180
8n + 10n = 180
18n = 180
18n/18 = 180/18
n = 10

So n = 10. Let's use this to find the numeric value of S
S = 10n
S = 10*10
S = 100
Angle S is 100 degrees

And let's use n = 10 to find R
R = 8n
R = 8*10
R = 80
Angle R is 80 degrees