QRST is a parallelogram. QTU and RVU are straight lines. Find the values of
- ∠j
- ∠n
- ∠m
- ∠k
(a)
∠j
= 180° - 54° - 57°
= 69° (Interior angles)
(b)
∠VQR = ∠VRQ = 54° (Isosceles triangle)
∠n
= 180° - 57° - 54° - 54°
= 15° (Interior angles)
(c)
∠m
= 180° - 54° - 54°
= 72° (Isosceles triangle)
(d)
∠k = 57° (Alternate angles)
Answer(s): (a) 69°; (b) 15°; (c) 72°; (d) 57°