STUV is a rhombus, PQV and TQU are straight lines. If TQ = QV, ∠QVU = 21° and ∠RTU = 29°, find
- ∠QUV
- ∠RPQ
(a)
∠QUV
= 81° - 21°
= 60° (Exterior angle of a triangle)
(b)
∠TPQ
= 81° - 29°
= 52° (Exterior angle of a triangle)
∠RPQ
= 180° - 52°
= 128° (Angles on a straight line)
Answer(s): (a) 60°; (b) 128°