PSLE JKLM is a trapezium with JK parallel to ML. JPK and NPM are straight lines and JN = NK. ∠NJM = 99°.
- Find ∠JMP.
- Find ∠KNP.
(a)
∠JMP
= 180° - 99° - 21°
= 60° (Angles sum of triangle)
(b)
∠JPM
= 75° (Alternate angles)
∠KJN
= 75° - 21°
= 54° (Exterior angle of a triangle)
∠KNP
= 180° - 54° - 54° - 21°
= 51° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 51°