Question

Use a definition, postulate, or theorem to find the value of x In the figure described

SV is an angle bisector of ZRST. IfmZRSV = (2x +9)° and mZRST = (6x - 26)°, find x.
Select each definition, postulate, or theorem you will use.
A
Angle Addition Postulate
definition of midpoint
C
definition of angle bisector
D
Linear Palr Theorem
The solution is x =

Answer 1

You’re using the definition of an angle bisector. A bisector is a ray that cuts an angle in half, so to solve for x you set the two values equal to one another.
2x+9=6x-26 (subtract 2x from both sides)
9=4x-26 (add 26 to both sides)
35=4x (divide by 4)
X=8.75