PSLE JKLM and KMNP are rhombuses. LQM is a straight line.
- Find ∠MKQ.
- Find ∠LMN.
(a)
∠KML
= (180° - 106°) ÷2
= 74° ÷ 2
= 37° (Isosceles triangle)
∠MKQ
= 180° - 120° - 37°
= 23° (Angles sum of triangle)
(b)
∠KPN
= 360° - 297°
= 63° (Angles at a point)
∠KMN = ∠KPN = 63° (Rhombus)
∠LMN
= 63° - 37°
= 26°
Answer(s): (a) 23°; (b) 26°