m∠T=3(m∠S) If the angles are supplementary, what are the measuremements of the angles?
So the measures of supplementary angles add up to 180 degrees. Knowing this, we can set up a system of equations:
First, let:
m∠T = t
m∠S = s
t = 3s
t + s = 180
Substitute 3s for t in the second equation:
3s + s = 180
4s = 180
s = 45
So m∠S = 45 degrees.
Now, plug 45 back into the first equation:
t = 3s
t = 3(45)
t = 135
So m∠T = 135 degrees. :)
So the measures of supplementary angles add up to 180 degrees. Knowing this, we can set up a system of equations:
First, let:
m∠T = t
m∠S = s
t = 3s
t + s = 180
Substitute 3s for t in the second equation:
3s + s = 180
4s = 180
s = 45
So m∠S = 45 degrees.
Now, plug 45 back into the first equation:
t = 3s
t = 3(45)
t = 135
So m∠T = 135 degrees. :)