PSLEIn the figure, JKLM is a straight line, KMNP is a parallelogram and NL = NP. ∠PJK is a right angle, ∠JPK = 23° and ∠MNL = 17°.
- Find ∠q.
- Find ∠r.
(a)
∠PJK = 90° (Right angle)
∠q
= 90° + 23°
= 113° (Exterior angle of a triangle)
(b)
∠MNP = ∠MKP = 113° (Parallelogram)
∠LNP
= 113° - 17°
= 96°
∠r
= (180° - 96°) ÷ 2
= 42° (Isosceles triangle)
Answer(s): (a) 113°; (b) 42°