PSLE KLMN is a trapezium with KL parallel to NM. KQL and PQN are straight lines and KP = PL. ∠PKN = 98°.
- Find ∠KNQ.
- Find ∠LPQ.
(a)
∠KNQ
= 180° - 98° - 24°
= 58° (Angles sum of triangle)
(b)
∠KQN
= 70° (Alternate angles)
∠LKP
= 70° - 24°
= 46° (Exterior angle of a triangle)
∠LPQ
= 180° - 46° - 46° - 24°
= 64° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 64°