Question

if ∠rst and ∠xyz are a linear pair, and m∠rst is equal to 102°, then what is m∠xyz? m∠xyz = □°

Explanation:

Step1: Recall the property of linear pair

A linear pair of angles is supplementary, i.e., \(m\angle RST + m\angle XYZ=180^{\circ}\)

Step2: Substitute the given value

Given \(m\angle RST = 102^{\circ}\), then \(102^{\circ}+m\angle XYZ = 180^{\circ}\)

Step3: Solve for \(m\angle XYZ\)

\(m\angle XYZ=180^{\circ}- 102^{\circ}\)
\(m\angle XYZ = 78^{\circ}\)

Answer:

\(78\)