Respuesta :

Answer:

x=22.7

Explanation:

In the circle:

• m∠TUS=107°

,

• The measure of arc TS = (3x+39)°

In a circle:

Therefore:

[tex]\begin{gathered} m\widehat{TS}=m\angle TUS \\ \implies3x+39=107\degree \end{gathered}[/tex]

We solve the equation for x:

[tex]\begin{gathered} \text{ Subtract 39 from both sides} \\ 3x+39-39=107-39 \\ 3x=68 \\ \text{ Divide both sides by 3} \\ \frac{3x}{3}=\frac{68}{3} \\ x\approx22.7\degree \end{gathered}[/tex]

The value of x is 22.7 (correct to the nearest tenth).

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