PSLE In the figure, JKM and PNM are straight lines and NK is parallel to ML. ∠NPJ is a right angle, ∠PJK = 53°, ∠JKL = 112° and ∠MNK = 67°.
- Find ∠JKN.
- Find ∠KLM.
(a)
∠JMP
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠MKN
= 180° - 67° - 37°
= 76° (Angles sum of triangle)
∠JKN
= 180° - 76°
= 112° (Angles on a straight line)
(b)
∠MKL
= 360° - 112° - 76° - 112°
= 60° (Angles at a point)
∠KLM
= 180° - 60° - 60°
= 60°
Answer(s): (a) 112°; (b) 60°