MCQ
If $\angle{\text{ABC}}=60^\circ$ and $\angle{\text{ABX}}=30^\circ$ in what ratio does $\overrightarrow{\text{BX}}$ divide $\angle{\text{ABC}}$?
  • A
    $1:2$
  • $1:1$
  • C
    $2:1$
  • D
    $1:3$

Answer

Correct option: B.
$1:1$
$\angle{\text{ABC}}=60^\circ$ and $\angle{\text{ABX}}=30^\circ\Rightarrow\overrightarrow{\text{BX}}$ is the bisector of $\angle{\text{ABC}}\Rightarrow\overrightarrow{\text{BX}}$ divides $\angle{\text{ABC}}$ in the ratio $1:1$.

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