Đáp án:
$\widehat{A}$ = $90^o$
$\widehat{B}$ = $60^o$
$\widehat{C}$ = $30^o$
Giải thích các bước giải:
Theo bài ra ta có:
$\widehat{A}$ : $\widehat{B}$ : $\widehat{C}$ = $\frac{1}{2}$ : $\frac{1}{3}$ : $\frac{1}{6}$
⇒ $\frac{\widehat{A}}{\frac{1}{2}}$ = $\frac{\widehat{B}}{\frac{1}{3}}$ = $\frac{\widehat{C}}{\frac{1}{6}}$
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
$\frac{\widehat{A}}{\frac{1}{2}}$ = $\frac{\widehat{B}}{\frac{1}{3}}$ = $\frac{\widehat{C}}{\frac{1}{6}}$ = $\frac{\widehat{A}+\widehat{B}+\widehat{C}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{6}}$ = $\frac{180^o}{1}$ = $180^o$
⇒ $\widehat{A}$ = $180^o.\frac{1}{2}$ = $90^o$
$\widehat{B}$ = $180^o.\frac{1}{3}$ = $60^o$
$\widehat{C}$ = $180^o.\frac{1}{6}$ = $30^o$
