Question

find the measure of each angle in the following triangle. enter your answers in degrees by entering deg after any value that is in degrees.

m∠srt

m∠str

Explanation:

Step1: Find \(m\angle SRT\)

Use the linear - pair relationship. If two angles form a linear pair, their sum is \(180^{\circ}\).
For \(\angle SRT\) and the \(148^{\circ}\) angle:
\(m\angle SRT + 148^{\circ}=180^{\circ}\)
\(m\angle SRT=180^{\circ}- 148^{\circ}\)
\(m\angle SRT = 32^{\circ}\)

Step2: Find \(m\angle STR\)

Use the linear - pair relationship. For \(\angle STR\) and the \(115^{\circ}\) angle:
\(m\angle STR+115^{\circ}=180^{\circ}\)
\(m\angle STR = 180^{\circ}-115^{\circ}\)
\(m\angle STR=65^{\circ}\)

Answer:

\(m\angle SRT = 32\mathrm{deg}\), \(m\angle STR = 65\mathrm{deg}\)