Question

the ratio of the measures of the 3 angles of a triangle is 2:3:4. Find the angles ​

Answer 1

Step-by-step explanation:

2x+3x+4x =180

9x = 180

x =2

2x =4

3x =6

4x =8

Answer 2

$\Huge\mathfrak{{\orange{a}}{\blue{n}}{\pink{s}}{\purple{w}}{\red{e}}{\green{r}}:}$

$\bf{Let~the~unknown~angles~be:}$

$\sf{~~~~~~2x,~3x,~and~4x}$

$\sf{:→ 2x+3x+4x=180°~~(Angle~Sum~Property)}$

$\sf{:→ 9x=180}$

$\sf{:→ x={\dfrac{180}{9}}}$

$\sf{:→ x=\color{blue}{\underline{\underline{\bf 20}}}}$

$\bf\therefore{{\underline{Required~angles}}:}$

$\sf{2x=2(20)=\color{blue}{\underline{\boxed{\bf 40°}}}}$

$\sf{3x=3(20)=\color{blue}{\underline{\boxed{\bf 60°}}}}$

$\sf{4x=4(20)=\color{blue}{\underline{\boxed{\bf 80°}}}}$