PSLE JKLM is a trapezium with JK parallel to ML. JPK and NPM are straight lines and JN = NK. ∠NJM = 94°.
- Find ∠JMP.
- Find ∠KNP.
(a)
∠JMP
= 180° - 94° - 27°
= 59° (Angles sum of triangle)
(b)
∠JPM
= 69° (Alternate angles)
∠KJN
= 69° - 27°
= 42° (Exterior angle of a triangle)
∠KNP
= 180° - 42° - 42° - 27°
= 69° (Angles sum of triangle)
Answer(s): (a) 59°; (b) 69°