In triunghiul ABC se stie ca masura(unghiuluiABC)=37grade si masura(unghiuluiACB)=3ori masura(unghiuluiBAC).Calculati masurile unghiurilor triunghiului.

Răspuns :

B=37
C=3A

A+B+C=180
A+37+3A=180
A+3A=180-37
4A=143
A=35.75

C=3*35.75
C=107.25

VEROFICARE:
107.25+35.75+37=180?
180=180 ADEVARAT
      Ip:    
m( ungh B)= 37 grade
m( ungh C)= 3*m( ungh A)
      C: m(A)=?;m(C)=?
     Dem:      m(A) plus m(B) plus m(C)= 180 grade
m(A) plus 37 grade plus 3*m(A)=180 grade

4m(A) plus 37 grade=180 grade
4m(A)=180 grade -37 grade=143 grade
m(A)= 143/4
m(A)=35,75 grade
m(B)=3*35.75
m(B)=107.25 grade