Answer:
7
Explanation:
Given
m∠TUV = (9x + 1)°
m∠TUW = (7x – 9)°
m∠WUV = (5x – 11)°
Note that the point line WU bisects <TUV at U
Hence = ∠TUW + ∠WUV = ∠TUV
Substituting the given parameters to get x;
(9x +1)° = (7x – 9)°+(5x - 11)°
9x+1 = 12x-20
collect the like terms
9x-12x = -20-1
-3x = -21
divide both sides by -3
-3x/-3 = -21/-3
x = 7
Hence the value of x is 7