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

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.