In the diagram above, TR = TS and ?TRS = 60^{o}. Find the value of x

Answer Details

Since TR = TS and ?TRS = 60o, then ?TSR = ?TRS = 60o.
Therefore, the angles of triangle TSP add up to 180o: ?TPS + ?TSP + ?TSR = 180o.
Substituting the known values: x + 60 + 60 = 180.
Simplifying: x = 60.
Hence, the value of x is 60.