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.
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-> 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.
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Question 78061: 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. Answer by jim_thompson5910(35256) (Show Source):
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
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