Question 99509
ok first thing is define supplement angles:
angles are supplementry if their sum equals 180.
so now lets define the angles.
The first angle is angle T
Lets call the second angle X
Now by the definition of supplementry angles we know that
angle T plus angle X equals 180 or
{{{T+X=180}}}
Now the question states that angle T is 20 more than four times its supplement.
Lets write this sentence as an equation:
{{{T=20+4X}}}
So just replace the T in {{{T+X=180}}} with 20+4X like this:
{{{20+4X+X=180}}}
Now just solve for X
{{{20+4X+X=180}}}   
{{{20+5X=180}}}     combine 4X and X
{{{5X=180-20}}}     subtract 20 from both sides 
{{{5X=160}}}        divide both sides by 5
{{{X=32}}}

Now that you have found X=32 just replace X in {{{T+X=180}}}
to solve for T
{{{T+32=180}}}
{{{T=180-32}}}
{{{T=148}}}