If m∠TUV = (9x + 1)°, m∠TUW = (7x – 9)°, and m∠WUV = (5x – 11)°, find the value of x. *

Step-by-step 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

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step-by-step explanation: