Angles (Isosceles Triangle)

The figure below is not drawn to scale. Given that TP = SP, find ∠RTS

TRS = 40 + 24 = 64 (exterior angle = interior opposite angles of triangle TPR)

TSP = (180 - 24) / 2 = 78 (base angles of isosceles triangle TSP)

RTS = 180 - 78 - 64 = 38 (angle sum of triangle RTS)

TRP = 180 - 40 - 24 = 116 (angle sum of triangle TRP)

TSP = (180 - 24) / 2 = 78 (base angles of isosceles triangle TSP)

RTS = 116 - 78 = 38 (exterior angle = interior opposite angles of triangle RTS)