Question

The number of angles in the given figure is

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is D 6

An angle is made up of two rays starting from a common initial point called vertex.

Angles show in the figure are

1. $\angle AOB$ = ${40}^{\circ }$

2. $\angle BOC$ = ${20}^{\circ }$

3. $\angle COD$ = ${30}^{\circ }$

4. $\angle AOB$ + $\angle BOC$ = ${40}^{\circ }$+${20}^{\circ }$ = ${60}^{\circ }$

5. $\angle AOB$ + $\angle BOC$ + $\angle COD$ = ${40}^{\circ }$+${20}^{\circ }$+${30}^{\circ }$ = ${90}^{\circ }$

6. $\angle BOC$ + $\angle COD$ = ${20}^{\circ }$+${30}^{\circ }$ = ${50}^{\circ }$

Therefore, there are 6 angles.