Question

va rog repede dau coroană​

Answer 1

Răspuns:

a+b+c=180⁰

6a=3b=2c = k  

a = k/6

b = k/3

c = k/2  

³⁾k/2+²⁾k/3+k/6=⁶⁾1080

3k+2k+k=1080=>k=1080:6=>k=180°

a=180:6=>a=30°

b=180:3=>b=60°

c=180:2=>c=90°

Answer 2

$\it Vom\ nota\ m\breve asurile\ unghiurilor\ cu\ x,\ y,\ z.$

$\it x+y+z+180^o\ \ \ \ \ (1)\\ \\ \{x,\ y,\ z\}\ i.\ p.\ \{6,\ 3,\ 2\} \Rightarrow 6x=3y=2z\\ \\ 6x=3y\bigg|_{:3} \Rightarrow y =2x\ \ \ \ \ (2)\\ \\ 6x=2z\bigg|_{:2} \Rightarrow z=3x\ \ \ \ \ (3)\\ \\ \\ (1),\ (2),\ (3) \Rightarrow x+2x+3x=180^o \Rightarrow 6x=180^o\bigg|_{:6} \Rightarrow x=30^o\\ \\ y=2\cdot30^o=60^o;\ \ \ z=3\cdot30^o=90^o$

Măsurile unghiurilor sunt: 30°,  60°,  90° .