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08-09-2014
Mathematics

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In triangle ABC, angle A = 2x°, angle B = (x-45)° and angle C = (x-15)°.

What kind of triangle is ABC?

Respuesta :

08-09-2014

[tex]Sum\ of\ angles\ in\ triangle\ is\ equal\ to\ 180^{\circ}\\\\ To\ find\ x\ sum\ all\ angles:\\ 2x+x-45+x-15=180\\\\ 4x-60=180\ \ \ |Add\ 60\\\\ 4x=60+180\\\\ 4x=240\ \ \ |Divided\ by\ 4\\\\ x=60^{\circ}\\\\ \angle \ A=2x=2*60=120^{\circ}\\ \angle\ B=x-45=60-45=15^{\circ}\\ \angle\ C=x-15=60-15=45^{\circ}\\\\Triangle\ is\ \textbf{obtuse}.[/tex]

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