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.
Algebra.Com
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
Check:
Plug in x=8
works
RELATED QUESTIONS
Find the measure of each angle. JK bisects ∠LJM, m∠LJK = (-10x + 3) , and... (answered by Edwin McCravy)
Help please
1. Which of the following shows that ΔPQS ≅ ΔRQS, when... (answered by MathLover1)
GI bisects (answered by cleomenius)
GI bisects (answered by cleomenius)
Ray GI bisects angle DGH so that m angle DGI is x – 3 and m angle IGH is 2x – 13. Find... (answered by cleomenius)
QS bisects ∠PQR, m∠PQR = (4x + 2) °, and
m∠SQR (answered by cleomenius)
In a diagram, GH bisects (answered by cleomenius)
21. Given: Ray ST bisects Angle(<) RSV
m< RST= x+y
m< TSV= 2x-2y
(answered by jim_thompson5910)
In the diagram, KM bisects JKL. the measures of the two congruent angles are (2x+7)° and... (answered by filboi)