PSLE In the figure, RSTU is a parallelogram. PUR and QUT are straight lines and PQ = QR. ∠PQU = 31° and ∠STU = 56°.
- Find ∠TUR.
- Find ∠UQR.
(a)
∠TUR
= 180° - 56°
= 124° (Interior angles)
(b)
∠PUQ
= ∠TUR
= 124° (Vertically opposite angles)
∠QPU
= 180° - 124° - 31°
= 25° (Angles sum of triangle)
∠QRU = ∠QPU (Isosceles triangle)
∠PQR
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠UQR
= 130° - 31°
= 99°
Answer(s): (a) 124°; (b) 99°