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

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)   (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)   (Show Source): You can put this solution on YOUR website!
Let S = measure of supplement

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

Start with the first equation.

Plug in

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is

This means that the supplemental angle is 32 degrees while angle T is degrees.

Answer by checkley77(12844)   (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

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