Question

I need help with some important questions for my work sheet

Answer 1

Since ∠RST and ∠U are alternate exterior angles, the measures of the angles must be equal.

`4x-24=3x`

Isolate the varieble term by subtracting 3x and adding 24 to both sides of the equation.

`\begin{gathered} 4x-24-3x+24=3x-3x+24 \\ x=24 \end{gathered}`

Since the value of x is 24, substitute 24 for x in 3x to obtain the value of ∠RST.

`\begin{gathered} m\angle RST=3x\degree \\ =3(24)\degree \\ =72\degree \end{gathered}`

Therefore, m∠RST is 72°.