EFGH is a parallelogram. EHJ and FKJ are straight lines. Find the values of
- ∠j
- ∠n
- ∠m
- ∠k
(a)
∠j
= 180° - 54° - 59°
= 67° (Interior angles)
(b)
∠KEF = ∠KFE = 54° (Isosceles triangle)
∠n
= 180° - 59° - 54° - 54°
= 13° (Interior angles)
(c)
∠m
= 180° - 54° - 54°
= 72° (Isosceles triangle)
(d)
∠k = 59° (Alternate angles)
Answer(s): (a) 67°; (b) 13°; (c) 72°; (d) 59°