Question

if ∠rst and ∠xyz are supplementary, and m∠rst is equal to 110°, then what is m∠xyz? m∠xyz =

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). So, \(m\angle{RST}+m\angle{XYZ} = 180^{\circ}\).

Step2: Solve for \(m\angle{XYZ}\)

Given \(m\angle{RST}=110^{\circ}\), substitute into the equation: \(110^{\circ}+m\angle{XYZ}=180^{\circ}\). Then \(m\angle{XYZ}=180^{\circ}- 110^{\circ}\).

Answer:

\(70\)