QRST is a parallelogram. QTU and RVU are straight lines. Find the values of
- ∠w
- ∠z
- ∠y
- ∠x
(a)
∠w
= 180° - 53° - 58°
= 69° (Interior angles)
(b)
∠VQR = ∠VRQ = 53° (Isosceles triangle)
∠z
= 180° - 58° - 53° - 53°
= 16° (Interior angles)
(c)
∠y
= 180° - 53° - 53°
= 74° (Isosceles triangle)
(d)
∠x = 58° (Alternate angles)
Answer(s): (a) 69°; (b) 16°; (c) 74°; (d) 58°