PSLE JKLM is a trapezium with JK parallel to ML. JPK and NPM are straight lines and JN = NK. ∠NJM = 92°.
- Find ∠JMP.
- Find ∠KNP.
(a)
∠JMP
= 180° - 92° - 23°
= 65° (Angles sum of triangle)
(b)
∠JPM
= 68° (Alternate angles)
∠KJN
= 68° - 23°
= 45° (Exterior angle of a triangle)
∠KNP
= 180° - 45° - 45° - 23°
= 67° (Angles sum of triangle)
Answer(s): (a) 65°; (b) 67°