PSLE In the figure, RSTU is a parallelogram. PUR and QUT are straight lines and PQ = QR. ∠PQU = 29° and ∠STU = 58°.
- Find ∠TUR.
- Find ∠UQR.
(a)
∠TUR
= 180° - 58°
= 122° (Interior angles)
(b)
∠PUQ
= ∠TUR
= 122° (Vertically opposite angles)
∠QPU
= 180° - 122° - 29°
= 29° (Angles sum of triangle)
∠QRU = ∠QPU (Isosceles triangle)
∠PQR
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠UQR
= 122° - 29°
= 93°
Answer(s): (a) 122°; (b) 93°