Question

What is the name of the angle formed by BA−→− and BC−→−, given that the two rays share a common endpoint?

Answer 1

Answer:

Either $\angle ABC$ or  $\angle CBA$.

Explanation:

We need to find the name of the angle formed by the rays $\overrightarrow{BA}\text{ and }\overrightarrow{BC}$

It is given that the two rays share a common endpoint.

Here, the common endpoint of the rays is B. So, angle must be formed on point B.

To name the angle we need three points. One is common and one point on each ray except the common point.

Points on rays $\overrightarrow{BA}\text{ and }\overrightarrow{BC}$ are A and C respectively.

Required angle $=\angle ABC=\angle CBA$

Therefore, the required angle name is either $\angle ABC$ or  $\angle CBA$.