SOLUTION: find the measure of angle T if the measure of angle T is 20 more than four times its supplement.

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Question 212249: find the measure of angle T if the measure of angle T is 20 more than four times its supplement.
Found 3 solutions by rfer, jim_thompson5910, checkley77:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+4x+20=180
5x=160
x=32
T=4x+20
T=4*32+20
T=148 degrees

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let S = measure of supplement

So by definition S%2BT=180 (since supplemental angles add to 180 degrees). Also, since "the measure of angle T is 20 more than four times its supplement", this means T=4S%2B20


S%2BT=180 Start with the first equation.


S%2B4S%2B20=180 Plug in T=4S%2B20


20%2B5S=180 Combine like terms on the left side.


5S=180-20 Subtract 20 from both sides.


5S=160 Combine like terms on the right side.


S=%28160%29%2F%285%29 Divide both sides by 5 to isolate s.


S=32 Reduce.


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Answer:

So the solution is S=32


This means that the supplemental angle is 32 degrees while angle T is T=4%2832%29%2B20=128%2B20=148 degrees.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
t=4(180-t)+20
t=720-4t+20
t+4t=740
5t=740
t=740/5
t=148 ans.
Proof:
148=4(180-148)+20
148=4*32+20
148=128+20
148=148