Trong ▲ABC có
\(\widehat {A}+\widehat {B}+\widehat {C} = 180 độ\)
⇒ 60 độ +\(\widehat {2C}+\widehat {C}\) = 180 độ
⇒ \(\widehat {3C}\) = 120 độ
⇒ \(\widehat {C}=40 độ\)
Xét \(\Delta ABC\) ta có:\(\widehat{A}\) +\(\widehat{B}\) +\(\widehat{C}\) =1800 (tổng 3 góc trong 1 tam giác)
\(\Leftrightarrow\widehat{A}\) +\(2\widehat{C}\) +\(\widehat{C}\) =1800
\(\Rightarrow2\widehat{C}+\widehat{C}=180^0-\widehat{A}\) =1800-600=1200
\(\Rightarrow2\widehat{C}+\widehat{C}=120^0\Leftrightarrow3\widehat{C}=120^0\)
\(\Rightarrow\widehat{C}=120^0:3=40^0\)
\(\Rightarrow\widehat{B}=40^0.2=80^0\)
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