PSLE KLMN is a trapezium with KL parallel to NM. KQL and PQN are straight lines and KP = PL. ∠PKN = 95°.
- Find ∠KNQ.
- Find ∠LPQ.
(a)
∠KNQ
= 180° - 95° - 22°
= 63° (Angles sum of triangle)
(b)
∠KQN
= 73° (Alternate angles)
∠LKP
= 73° - 22°
= 51° (Exterior angle of a triangle)
∠LPQ
= 180° - 51° - 51° - 22°
= 56° (Angles sum of triangle)
Answer(s): (a) 63°; (b) 56°