PSLE JKLM is a trapezium with JK parallel to ML. JPK and NPM are straight lines and JN = NK. ∠NJM = 98°.
- Find ∠JMP.
- Find ∠KNP.
(a)
∠JMP
= 180° - 98° - 30°
= 52° (Angles sum of triangle)
(b)
∠JPM
= 66° (Alternate angles)
∠KJN
= 66° - 30°
= 36° (Exterior angle of a triangle)
∠KNP
= 180° - 36° - 36° - 30°
= 78° (Angles sum of triangle)
Answer(s): (a) 52°; (b) 78°