PSLE In the figure, KLMN is a parallelogram. HNK and JNM are straight lines and HJ = JK. ∠HJN = 32° and ∠LMN = 58°.
- Find ∠MNK.
- Find ∠NJK.
(a)
∠MNK
= 180° - 58°
= 122° (Interior angles)
(b)
∠HNJ
= ∠MNK
= 122° (Vertically opposite angles)
∠JHN
= 180° - 122° - 32°
= 26° (Angles sum of triangle)
∠JKN = ∠JHN (Isosceles triangle)
∠HJK
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠NJK
= 128° - 32°
= 96°
Answer(s): (a) 122°; (b) 96°