Given:
Angle PRQ = (x + 40)
Angle QRS = (3x - 20)
Here, the line RQ bisects PRS. A bisector can be said to divide an angle into two equal parts.
Thus, angle PRQ = angle QRS
x + 40 = 3x - 20
Let's solve for x.
Subtract 3x from both sides:
x - 3x + 40 = 3x - 3x - 20
-2x + 40 = -20
Subtract 40 from both sides:
-2x + 40 - 40 = -20 - 40
-2x = -60
Divide both sides by -2:
[tex]\begin{gathered} \frac{-2x}{-2}=\frac{-60}{-2} \\ \\ x\text{ = }30 \end{gathered}[/tex]
The value of x is 30
ANSWER:
x = 30
