PSLE In the figure, JKM and PNM are straight lines and NK is parallel to ML. ∠NPJ is a right angle, ∠PJK = 49°, ∠JKL = 124° and ∠MNK = 64°.
- Find ∠JKN.
- Find ∠KLM.
(a)
∠JMP
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠MKN
= 180° - 64° - 41°
= 75° (Angles sum of triangle)
∠JKN
= 180° - 75°
= 124° (Angles on a straight line)
(b)
∠MKL
= 360° - 124° - 75° - 124°
= 37° (Angles at a point)
∠KLM
= 180° - 37° - 37°
= 106°
Answer(s): (a) 124°; (b) 106°