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In ? ABC, angle C = …

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In ? ABC, angle C = 3angle B = 2 ( angle A + angle B). Find the angles.
  • 1 answers

Ram Kushwah 6 years, 10 months ago

Let the {tex}\angle{/tex} B=x then {tex}\angle{/tex}C=3x

3x=2({tex}\angle{/tex}A+x)

3x=2{tex}\angle{/tex}A+2x

x=2 {tex}\angle{/tex}A  , {tex}\angle{/tex}A=x/2

{tex}\angle{/tex}A+{tex}\angle{/tex}B+{tex}\angle{/tex}C=180

x/2+x+3x=180

9x/2=180,x=40

so {tex}\angle{/tex}A=20,{tex}\angle{/tex}B=40 ,{tex}\angle{/tex}C=120

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