Question

if $mangle rxu = 67^{circ}$, then what is $mangle uxs$?

Explanation:

Step1: Use the definition of a linear pair

Angles \(\angle RXU\) and \(\angle UXS\) form a linear pair. A linear pair of angles is supplementary, meaning \(m\angle RXU + m\angle UXS=180^{\circ}\).

Step2: Solve for \(m\angle UXS\)

Given \(m\angle RXU = 67^{\circ}\), we substitute into the equation: \(m\angle UXS=180^{\circ}-m\angle RXU\).
So, \(m\angle UXS = 180^{\circ}- 67^{\circ}\).

$$m\angle UXS=113^{\circ}$$

Answer:

\(113\)