the largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. find the measure of the smallest angle.

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Mathematics

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the largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. find the measure of the smallest angle.

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Luanaid Luanaid · Answer 1

Luanaid Luanaid

[tex]x-\ the\ smallest\ angle\\\\ 6x- \ larger\ angle\\\\ 2x- \ other\ angle\\\\ Sum\ of\ angles\ in\ triangle\ is\ equal\ to\ 180^{\circ}\\\\ x+6x+3x=180^{\circ}\\ 9x=180^{\circ}\ \ |Divide\ by\ 9\\\\ x=20^{\circ}\\\\the\ smallest\ angle\ is\ equal\ to\ 20^{\circ}.[/tex]

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