PSLE In the figure, JKM and PNM are straight lines and NK is parallel to ML. ∠NPJ is a right angle, ∠PJK = 48°, ∠JKL = 117° and ∠MNK = 71°.
- Find ∠JKN.
- Find ∠KLM.
(a)
∠JMP
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠MKN
= 180° - 71° - 42°
= 67° (Angles sum of triangle)
∠JKN
= 180° - 67°
= 117° (Angles on a straight line)
(b)
∠MKL
= 360° - 117° - 67° - 117°
= 59° (Angles at a point)
∠KLM
= 180° - 59° - 59°
= 62°
Answer(s): (a) 117°; (b) 62°