Answer: OPTION A
Step-by-step explanation:
It is important to remember the "Angle Addition Postulate" in order to solve this exercise.
You have this larger angle:
[tex]\angle AVB[/tex]
According to the "Angle Addition Postulate", if the point "C" is in the interior of [tex]\angle AVB[/tex], then the measure of this angle can be obtained by adding the angle [tex]\angle AVC[/tex] and the angle [tex]\angle CVB[/tex].
You can observe in the figure that:
[tex]m\angle AVC=39\°\\\\\mangle CVB=23\°[/tex]
Then you get that:
[tex]m\angle AVC+m\angle CVB=m\angle AVB\\\\39\°+23\°=62\°[/tex]
Therefore, the correct answer is Option A.
