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° - 28°
= 60° (Angles sum of triangle)
(b)
∠JPM
= 67° (Alternate angles)
∠KJN
= 67° - 28°
= 39° (Exterior angle of a triangle)
∠KNP
= 180° - 39° - 39° - 28°
= 74° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 74°