Question

in the given figure
Is angle BOC adjacent to angle BOA give reason.
Is angle BOC adjacent to angle COA give reason. please​

Answer 1

Answer:

∆ Criteria for Adjacent angles |

• Should share a common vertex and a ray

∆ Here,

Angles BOC and BOA share a common vertex O and a common ray OB.

Therefore, angle BOC adjacent to angle BOA.

Answer 2

(a) ∠$BOC$ is adjacent to ∠$BOA$.

(b) ∠$BOC$ is not adjacent to ∠$COA$

Step-by-step explanation:

• Adjacent angles have one common side and one common vertex.
• The angles must not overlap each other.
• Only one side in the centre is hared and not the other sides.
• There are no common interior points.
• The angles can be complementary or supplementary.

Here, ∠$BOC$ and ∠$BOA$ shares one common side which is $OB$, One common vertex which is $O$ and there are no common interior points. Also, there is no overlapping. So, ∠$BOC$ is adjacent to ∠$BOA$.

∠$BOC$ and ∠$COA$ has one common side and one common vertex but there is overlapping and there are common interior points in both the angles. So, ∠$BOC$ is not adjacent to ∠$COA$.