STUV is a rhombus, PQV and TQU are straight lines. If TQ = QV, ∠QVU = 18° and ∠RTU = 27°, find
- ∠QUV
- ∠RPQ
(a)
∠QUV
= 83° - 18°
= 65° (Exterior angle of a triangle)
(b)
∠TPQ
= 83° - 27°
= 56° (Exterior angle of a triangle)
∠RPQ
= 180° - 56°
= 124° (Angles on a straight line)
Answer(s): (a) 65°; (b) 124°