Question

In circle U m ∠TUs=107. Solve for x if m TS = (3x+39). If necessary round your answer to the nearest tenth

Answer 1

x=22.7

Explanation:

In the circle:

• m∠TUS=107°

,

• The measure of arc TS = (3x+39)°

In a circle:

Therefore:

`\begin{gathered} m\widehat{TS}=m\angle TUS \\ \implies3x+39=107\degree \end{gathered}`

We solve the equation for x:

`\begin{gathered} \text{ Subtract 39 from both sides} \\ 3x+39-39=107-39 \\ 3x=68 \\ \text{ Divide both sides by 3} \\ (3x)/(3)=(68)/(3) \\ x\approx22.7\degree \end{gathered}`

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