In the figure, GKNR is a rectangle, NPRS is a rhombus and KLMN is a parallelogram. ∠NPR = 72° and ∠MNP = 94°.
- Find ∠JNK
- Find ∠NML
(a)
∠RSN = ∠RPN = 72°
∠SNR
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠JNK
= 90° - 54°
= 36°
(b)
∠KNM
= 360° - 94° - 90° - 54°
= 122° (Angles at a point)
∠LMN
= 180° - 122°
= 58° (Interior Angles, KN//LF)
Answer(s): (a) 36°; (b) 58°