PSLE In the figure, JKM and PNM are straight lines and NK is parallel to ML. ∠NPJ is a right angle, ∠PJK = 55°, ∠JKL = 112° and ∠MNK = 65°.
- Find ∠JKN.
- Find ∠KLM.
(a)
∠JMP
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠MKN
= 180° - 65° - 35°
= 80° (Angles sum of triangle)
∠JKN
= 180° - 80°
= 112° (Angles on a straight line)
(b)
∠MKL
= 360° - 112° - 80° - 112°
= 56° (Angles at a point)
∠KLM
= 180° - 56° - 56°
= 68°
Answer(s): (a) 112°; (b) 68°