PSLE In the figure, JKM and PNM are straight lines and NK is parallel to ML. ∠NPJ is a right angle, ∠PJK = 50°, ∠JKL = 120° and ∠MNK = 71°.
- Find ∠JKN.
- Find ∠KLM.
(a)
∠JMP
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠MKN
= 180° - 71° - 40°
= 69° (Angles sum of triangle)
∠JKN
= 180° - 69°
= 120° (Angles on a straight line)
(b)
∠MKL
= 360° - 120° - 69° - 120°
= 51° (Angles at a point)
∠KLM
= 180° - 51° - 51°
= 78°
Answer(s): (a) 120°; (b) 78°