Question

Given: vec(be)^(ad), (m)/(_(c))be=10\deg , (m)/(_(a))be=50\deg , bar(ac) is the angle bisector of ()/(_(d)ab) find:( m)/(_(c))

Answer 1

To find (m)/(_(c)), we need to utilize the concept of angle bisectors and determine that the angle between (m)/(_(c)) and (m)/(_(a))be is 25°.

Step-by-step explanation:

To find (m)/(_(c)) in this question, we need to utilize the concept of angle bisectors. In this context, the given that bar(ac) is the angle bisector of ()/(_(d)ab) means that the angle between (m)/(_(c)) and (m)/(_(a))be is half of the angle between (m)/(_(a))be and (m)/(_(d))ab.

Using the given information that (m)/(_(a))be is 50°, we can determine that the angle between (m)/(_(c)) and (m)/(_(a))be is 25°. Therefore, (m)/(_(c)) is 25°.