PSLE In the figure, JKM and PNM are straight lines and NK is parallel to ML. ∠NPJ is a right angle, ∠PJK = 52°, ∠JKL = 117° and ∠MNK = 70°.
- Find ∠JKN.
- Find ∠KLM.
(a)
∠JMP
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠MKN
= 180° - 70° - 38°
= 72° (Angles sum of triangle)
∠JKN
= 180° - 72°
= 117° (Angles on a straight line)
(b)
∠MKL
= 360° - 117° - 72° - 117°
= 54° (Angles at a point)
∠KLM
= 180° - 54° - 54°
= 72°
Answer(s): (a) 117°; (b) 72°