Respuesta :

Answer:

Since TV bisects STU, m∠STV and m∠UTV are equal

14x+8 = x+2

13x+8 = 2

13x = -6

x = -6/13 or -0.46

abidemiokin

The measure of m∠STU is 40/13 degrees

A point that bisects a line divides the line into two equal parts

If TV bisects  ∠STU and  ∠UTV, then;

  • ∠STU =  ∠STV+  ∠UTV
  • ∠STV=  ∠UTV

Given the following

m∠STV=(14x+8)∘

m∠UTV=(x+2)∘

Substitute the given values into the formula and calculate m∠STU

14x + 8 = x+ 2

14x - x = 2 - 8

13x = -6

x = -6/13

Get m∠STV

m∠STU = 14x+8 + x + 2

m∠STU = 15x + 10

m∠STU = 15(-6/13) + 10

m∠STU = -90/13 + 10

m∠STU = 40/13

Hence the measure of m∠STU is 40/13 degrees

Learn more here https://brainly.com/question/22883501

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