STUV is a rhombus, PQV and TQU are straight lines. If TQ = QV, ∠QVU = 15° and ∠RTU = 26°, find
- ∠QUV
- ∠RPQ
(a)
∠QUV
= 82° - 15°
= 67° (Exterior angle of a triangle)
(b)
∠TPQ
= 82° - 26°
= 56° (Exterior angle of a triangle)
∠RPQ
= 180° - 56°
= 124° (Angles on a straight line)
Answer(s): (a) 67°; (b) 124°