Question

The ratio of three angles of triangle is 3:5:2 then find the measurement of smallest angle

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\boxed{The\:smallest\:angle\:=\:36°}$

$\bold{Given,}$

$\bold{Ratio\:of\:the\:angles\:=\:3:5:2}$

$\bold{Let\:the\:angled\:be\:3x,5x,2x}$

$\bold{As\:we\:know\:sum\:of\:the}$

$\bold{angles\:in\:a\:triangle\:=180°}$

$\bold{3x+5x+2x=180°}$

$\bold{10x=180°}$

$\bold{x=180/10}$

$\bold{x=18}$

$\underline{Value\:of\:x=18}$

$\bold{To\:find\:the\:angles=}$

$\bold{3x=3(18)=54°}$

$\bold{5x=5(18)=90°}$

$\bold{2x=2(18)=36°}$

$\boxed{Therefore\:the\:three\:angles\:are\:54° , 90° , 36°}$