rjocelyn1488 rjocelyn1488
  • 22-09-2020
  • Mathematics
contestada

If mZTUV = (9x + 1)", mZTUW = (7x-9), and
mZWUV = (5x - 11)", find the value of x.

If mZTUV 9x 1 mZTUW 7x9 and mZWUV 5x 11 find the value of x class=

Respuesta :

eudora eudora
  • 29-09-2020

Answer:

x = 1

Step-by-step explanation:

Since, angle TUV has been divided in two parts by a ray UW

Measure of angle TUV = measure of angle TUW + measure of angle WUV

m∠TUV = m∠TUW + m∠WUV

By substituting the values of the given angles,

(9x + 1) = (7x - 9) + (5x - 11)

9x + 1 = 12x - 20

12x - 9x = 20 + 1

21x = 21

x = 1

Therefore, x = 1 will be the answer.

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