PSLE KLMN is a trapezium with KL parallel to NM. KQL and PQN are straight lines and KP = PL. ∠PKN = 92°.
- Find ∠KNQ.
- Find ∠LPQ.
(a)
∠KNQ
= 180° - 92° - 25°
= 63° (Angles sum of triangle)
(b)
∠KQN
= 74° (Alternate angles)
∠LKP
= 74° - 25°
= 49° (Exterior angle of a triangle)
∠LPQ
= 180° - 49° - 49° - 25°
= 57° (Angles sum of triangle)
Answer(s): (a) 63°; (b) 57°