SOLUTION: in the diagram above (http://www.etoid.org/problem.jpg) SQ Bisects |_ PSR, m |_ 1=4x - 3, and m |_ 2 = x + 21. Find the value of x.

You can put this solution on YOUR website!
Since the angle PSR is bisected (the angle at the apex of the triangle), angles 1 and 2 are equal. So we can say:
note: it reads angle 1 is equal to angle 2

which is equivalent to



So now we can treat this as an algebraic equation.

Add 3 to both sides
Subtract x from both sides
Divide both sides by 3

So x=8

Check:


Plug in x=8

works