PSLE JKLM is a trapezium with JK parallel to ML. JPK and NPM are straight lines and JN = NK. ∠NJM = 97°.
- Find ∠JMP.
- Find ∠KNP.
(a)
∠JMP
= 180° - 97° - 24°
= 59° (Angles sum of triangle)
(b)
∠JPM
= 70° (Alternate angles)
∠KJN
= 70° - 24°
= 46° (Exterior angle of a triangle)
∠KNP
= 180° - 46° - 46° - 24°
= 64° (Angles sum of triangle)
Answer(s): (a) 59°; (b) 64°