PSLE In the figure, KLMN is a parallelogram. HNK and JNM are straight lines and HJ = JK. ∠HJN = 32° and ∠LMN = 59°.
- Find ∠MNK.
- Find ∠NJK.
(a)
∠MNK
= 180° - 59°
= 121° (Interior angles)
(b)
∠HNJ
= ∠MNK
= 121° (Vertically opposite angles)
∠JHN
= 180° - 121° - 32°
= 27° (Angles sum of triangle)
∠JKN = ∠JHN (Isosceles triangle)
∠HJK
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠NJK
= 126° - 32°
= 94°
Answer(s): (a) 121°; (b) 94°