Triangles Maths - Triangles

In the given figure, $BO$ and $CO$ are bisectors of $\angle\text{B}$ and $\angle\text{C}$ respectively. If $\angle\text{A}=50^\circ$ then $\angle\text{BOC}=?$​​​​​​​

• A
  $130^\circ$
• B
  $100^\circ$
• ✓
  $115^\circ$
• D
  $120^\circ$

Answer: C.

• A
  $\{3 : 4 : 6\}$
• ✓
  $\{4 : 3 : 2\}$
• C
  $\{2 : 3 : 4\}$
• D
  $\{6 : 4 : 3\}$

Answer: B.

The side $BC, CA$ and $AB$ of $\triangle\text{ABC}$ have been produced to $D, E$ and $F$ respectively. $\angle\text{BAE}+\angle\text{CBF}+\angle\text{ACD}=?$

• A
  $240^\circ$
• B
  $300^\circ$
• C
  $320^\circ$
• ✓
  $360^\circ$

Answer: D.

• A
  $32^\circ$
• B
  $63^\circ$
• ✓
  $53^\circ$
• D
  $95^\circ$

Answer: C.

In the given figure, the side $CB$ and $BA$ of $\triangle\text{ABC}$ have been produced to $D$ and $E$ respectively such that $\angle\text{ABD}=110^\circ$ and $\angle\text{CAE}=135^\circ.$ Then, $\angle\text{ACB}=?$

• ✓
  $65^\circ$
• B
  $45^\circ$
• C
  $55^\circ$
• D
  $35^\circ$

Answer: A.