Question

m∠srt
m∠str
m∠rst

Explanation:

Step1: Find \(m\angle STR\)

Use the property that adjacent angles forming a linear pair sum to \(180^{\circ}\).
\(m\angle STR = 180^{\circ}- 122^{\circ}=58^{\circ}\)

Step2: Find \(m\angle SRT\)

Use the property that adjacent angles forming a linear pair sum to \(180^{\circ}\).
\(m\angle SRT = 180^{\circ}-133^{\circ} = 47^{\circ}\)

Step3: Find \(m\angle RST\)

Use the triangle - angle sum theorem (\(m\angle SRT+m\angle STR + m\angle RST=180^{\circ}\)).
Substitute \(m\angle SRT = 47^{\circ}\) and \(m\angle STR=58^{\circ}\) into the formula:
\(47^{\circ}+58^{\circ}+m\angle RST = 180^{\circ}\)
\(m\angle RST=180^{\circ}-(47^{\circ} + 58^{\circ})=180^{\circ}-105^{\circ}=75^{\circ}\)

Answer:

\(m\angle SRT = 47^{\circ}\), \(m\angle STR = 58^{\circ}\), \(m\angle RST = 75^{\circ}\)