Question

what is $m\angle rus$?
$m\angle rus = \square^{circ}$

Explanation:

Step1: Recall the sum of angles around a point

The sum of angles around a point is \(360^{\circ}\).

Step2: Set up the equation

Let \(m\angle{RUS}=x\). Then \(80^{\circ}+80^{\circ}+125^{\circ}+x = 360^{\circ}\).

Step3: Simplify the left - hand side

\(285^{\circ}+x=360^{\circ}\).

Step4: Solve for \(x\)

Subtract \(285^{\circ}\) from both sides: \(x = 360^{\circ}-285^{\circ}\).
\(x = 75^{\circ}\).

Answer:

\(75\)