Angle value

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Angle value

Postby Guest » Thu Oct 01, 2020 4:33 pm

Alfa=3/5 beta=3/10 gama
What is the value of angles in this triangle?
Thanks
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Re: Angle value

Postby Guest » Fri Oct 02, 2020 12:00 am

[tex]\frac{3}{5}[/tex][tex]\beta[/tex]=[tex]\alpha[/tex] , [tex]\frac{3}{10}[/tex][tex]\gamma[/tex]=[tex]\alpha[/tex]

[tex]\beta[/tex]=[tex]\frac{5\alpha}{3}[/tex] , [tex]\gamma[/tex]=[tex]\frac{10\alpha}{3}[/tex]

[tex]\alpha[/tex]+[tex]\beta[/tex]+[tex]\gamma[/tex]=180[tex]^\circ[/tex]
[tex]\alpha[/tex]+[tex]\frac{5\alpha}{3}[/tex]+[tex]\frac{10\alpha}{3}[/tex]=180[tex]^\circ[/tex]
18[tex]\alpha[/tex]=3.180[tex]^\circ[/tex]
[tex]\alpha[/tex]=30[tex]^\circ[/tex]

[tex]\beta[/tex]=[tex]\frac{5.30^\circ}{3}[/tex]=50[tex]^\circ[/tex]

[tex]\gamma[/tex]=[tex]\frac{10.30^\circ}{3}[/tex]=100[tex]^\circ[/tex]
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