Answer:
50° = 3x + 1, and x ≅ [tex]16.3^{o}[/tex]
Step-by-step explanation:
An angle bisector divides a given angle into two equal part in degrees.
Now, given that we have <ABC which has been bisected into two angles 50° and 3x + 1.
Since the two angles are equal, then;
50° = 3x + 1 (bisection property of an angle)
So that,
50° - 1 = 3x
49 = 3x
Divide both sides by 3, to have;
x = [tex]\frac{49}{3}[/tex]
= [tex]16.3^{o}[/tex]
Therefore, the value of x is approximately [tex]16.3^{o}[/tex].