In the figure, GKNR is a rectangle, NPRS is a rhombus and KLMN is a parallelogram. ∠NPR = 74° and ∠MNP = 93°.
- Find ∠JNK
- Find ∠NML
(a)
∠RSN = ∠RPN = 74°
∠SNR
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠JNK
= 90° - 53°
= 37°
(b)
∠KNM
= 360° - 93° - 90° - 53°
= 124° (Angles at a point)
∠LMN
= 180° - 124°
= 56° (Interior Angles, KN//LF)
Answer(s): (a) 37°; (b) 56°