PSLE In the figure, KLMN is a parallelogram. HNK and JNM are straight lines and HJ = JK. ∠HJN = 32° and ∠LMN = 56°.
- Find ∠MNK.
- Find ∠NJK.
(a)
∠MNK
= 180° - 56°
= 124° (Interior angles)
(b)
∠HNJ
= ∠MNK
= 124° (Vertically opposite angles)
∠JHN
= 180° - 124° - 32°
= 24° (Angles sum of triangle)
∠JKN = ∠JHN (Isosceles triangle)
∠HJK
= 180° - 24° - 24°
= 132° (Angles sum of triangle)
∠NJK
= 132° - 32°
= 100°
Answer(s): (a) 124°; (b) 100°