Answer:
The figure is attached below.
The value of x = 20.
Step-by-step explanation:
Given:
See the Diagram below
T-R-W is the Line and
S-R-V is the Line intersecting each other at point R making angles in clockwise as below
m∠ SRW = blank
m∠ WRV = 3x
m∠ VRT = blank
m∠ TRS = ( x + 40 )
To Find:
x = ?
Solution:
Vertical Opposite Angles Theorem:
Vertically Opposite Angles are the angles opposite each other when two lines cross and are always EQUAL.
Here in the figure
m∠ WRV and m∠ TRS are Vertically Opposite Angles
∴ m∠ WRV = m∠ TRS
∴ 3x = (x +40)
∴ 3x -x = 40
∴ 2x = 40
∴ [tex]x=\frac{40}{2} \\\\\therefore x = 20[/tex]
The value of x = 20.
