Answer:
[tex] \displaystyle PW = \underline{ \quad18 \quad}[/tex]
Step-by-step explanation:
by tangent property we acquire:
[tex] \displaystyle 3x - 6 = x + 10[/tex]
add 6 to both sides:
[tex] \displaystyle 3x= x + 16[/tex]
cancel x from both sides:
[tex] \displaystyle 2x= 16[/tex]
divide both sides by 2:
[tex] \displaystyle x= 8[/tex]
so,
[tex] \displaystyle PW = 3x - 6[/tex]
plug in the got value of x:
[tex] \displaystyle PW = 3.8 - 6[/tex]
simplify multiplication:
[tex] \displaystyle PW = 24- 6[/tex]
simplify Substraction:
[tex] \displaystyle PW =18[/tex]
hence, The measure of PW is 18 unit
