Question

In the figure shown below $\angle$$ABD$ = ${30}^{\circ }$
BD is the angle bisector of $\angle$$ABC$. What is the value of $\angle$$ABC$.

• A. Angle Bisector/Angular Bisector
• B. ${30}^{\circ }$
• C. ${45}^{\circ }$
• D. ${50}^{\circ }$

Answer 1

The correct option is A Angle Bisector/Angular Bisector

An angle bisector divides a given angle into two equal angles. Since BD divides $\angle$ ABC into two equal angles,
$\angle$$DBC$ = ${30}^{\circ }$
$\angle$$ABC$ = 30+30 = ${60}^{\circ }$