Find the measure of each angle in triangle abc.
a=50-x b=9x-40 c=90
A) a=130 b=60 c=90
B) a=60 b=130 c=90
C) a=40 b=50 c=90
D) a=50 b=40 c=90
No Guessing Please and show work thank you.

Respuesta :

recall that the sum of all interior angles in a triangle is 180°.


therefore, a + b + c = 180°


[tex] \bf (\stackrel{a}{50-x})+(\stackrel{b}{9x-40})+\stackrel{c}{90}=180\implies 8x+100=180
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8x=80\implies x=\cfrac{80}{8}\implies x=10\\\\
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(\stackrel{\stackrel{a}{50-x}}{50-10})=40\qquad \qquad \qquad \qquad \stackrel{\stackrel{b}{9x-40}}{9(10)-40}=50 [/tex]