Question

Exercițiul 8 va rog dau coroană ​

Answer 1

a,b,c - unghiuri formate in jururl unui punct;

=> a + b + c = 360

a=c +24

b= c-9

=>c+24+c-9+c=360

=>3c+24-9=360

=>3c+15=360

=>3c=360-15=345  I:3

=>c=115

=>a=139

=>b=106

Answer 2

$\it \hat A+\hat B+\hat C=360^o\ \ \ \ \ (1)\\ \\ \hat A=\hat C+24^o\ \ \ \ \ (2)\\ \\ \hat B=\hat C-9^o\ \ \ \ \ \ (3) \\ \\ (1),\ (2),\ (3) \Rightarrow \hat C+24^o+\hat C-9^o+\hat C=360^o \Rightarrow 3\hat C+15^o=360^o|_{-15^o }\Rightarrow\\ \\ \Rightarrow 3\hat C=115^o \ \ \ \ \ (4)\\ \\ (2),\ (4) \Rightarrow \hat A=115^o+24^o=139^o\\ \\ (3),\ (4) \Rightarrow \hat B=115^o-9^o=106^o$