Áp dụng định lí tổng ba góc trong tam giác ABC , ta có :
\(\widehat{A}+\widehat{B}+\widehat{C}=180^o\)
Mà \(\widehat{A}=100^o\)
\(\Rightarrow\widehat{B}+\widehat{C}=80^o\)
Mà \(\widehat{B}-\widehat{C}=20^o\)
\(\Rightarrow\hept{\begin{cases}\widehat{B}=50^o\\\widehat{C}=30^o\end{cases}}\)
góc B bằng 50 độ góc c bằng 30 độ
Vì Â = 100o
=> B - C = 180o - 100o
=> B - C = 80o
=> B = (80o + 20o) : 2 = 50o
=> C = 50o - 20o = 30o
Vậy B = 50o, C = 30o
=> \(\widehat{A}+\widehat{B}+\widehat{C}=360^o\)
\(\widehat{B}+\widehat{C}=360^o-100^o\)
\(\widehat{B}+\widehat{C}=260^o\)
\(\Rightarrow\widehat{B}=\left(260^o+20^o\right):2=140^o\)
\(\Rightarrow\widehat{C}=\widehat{B}-20^o=140^o-20^o=120^o\)
Vậy ...